A remote-controlled car’s wheel accelerates at 22.7 rad/s2 . If the wheel begins with an angular speed of 10.3 rad/s, what is the wheel’s angular speed after exactly twenty full turns

Answers

Answer 1

Explanation:

Below is an attachment containing the solution.

A Remote-controlled Cars Wheel Accelerates At 22.7 Rad/s2 . If The Wheel Begins With An Angular Speed

Related Questions

An ideal gas at 27°C is contained in a piston that ensures that its pressure will always be constant. Raising the tem- perature of the gas causes it to expand. At what tempera- ture will the gas take up twice its original volume?

Answers

Answer:

T = 600K

Explanation:

See attachment below.

When a garden hose with an output diameter of 20 mm is directed straight upward, the stream of water rises to a height of 0.13m . You then use your thumb to partially cover the output opening so that its diameter is reduced to 10 mm.

Part A

How high does the water rise now? Ignore drag and assume that the smaller opening you create with your thumb is circular.

Express your answer with the appropriate units

h=

Answers

Answer: h = 0.52m

Explanation:

Using the equation of out flow;

A1 × V1 = A2 ×V2

Where A1 = area of the first nozzle

A2 = area of the second nozzle

V1= velocity of flow out from the first nozzle

V2 = velocity of flow out from 2nd nozzle

But AV= area of nozzle × velocity of water = volume of water per second(m³/s).

Now we can set A×V = Area of nozzle × height of rise.

Henceb A1× h1 = A2 × h2 ( note the time cancel on both sides)

D1 = 20mm= 0.02m; h1 = 0.13m

D2 = 10mm = 0.01m; h2= ?

h2 = π(D1/2)²× h1 /π(D2/2)²

h2 = (0.02/2)² × 0.13/(0.01/2)²

= (0.01)² ×0.13 /(0.005)²

= 1.3 × 10^-5/(5 × 10^-3)²

= 1.3 × 10^-5/25 × 10^-6

= (1.3/25) 10^-5 × 10^6

= 0.052× 10

= 0.52m

A generator is constructed by rotating a coil of N turns in a magnetic field B at a frequency f. The internal resistance of the coil is R and the cross sectional area of the coil is A.

The average induced EMF doubles if the area A isdoubled.
a. True
b. False
The average induced EMF doubles if the frequency f isdoubled.
a. True
b. False
The maximum induced EMF occurs when the coil is rotatedabout an axis perpendicular to area A.
a. True
b. False
The average induced EMF doubles if the resistance R isdoubled.
a. True
b. False
The average induced EMF doubles if the magnetic field Bis doubled.
a. True
b. False

Answers

Final answer:

The induced electromotive force (EMF) in a generator coil is directly proportional to the area of the coil, frequency of rotation, and the magnetic field strength, but not to the coil's internal resistance. Changing any of these factors as described, except resistance, results in a proportional change in the induced EMF.

Explanation:Understanding the Factors Affecting Induced EMF in a Generator Coil

The behavior of induced electromotive force (EMF) in a generator is explained by Faraday's law of electromagnetic induction, which states that the induced EMF in a coil is proportional to the rate of change of magnetic flux through the coil.

The average induced EMF doubles if the area A is doubled: True. By doubling the area A, the magnetic flux through the coil also doubles, leading to a doubling of the induced EMF.The average induced EMF doubles if the frequency f is doubled: True. Increasing the frequency of rotation leads to a faster rate of change of magnetic flux, thus doubling the induced EMF.The maximum induced EMF occurs when the coil is rotated about an axis perpendicular to area A: True. This orientation results in the maximum change in magnetic flux, thus inducing the maximum EMF.The average induced EMF doubles if the resistance R is doubled: False. Internal resistance does not affect the induced EMF, which is solely dependent on the change in magnetic flux.The average induced EMF doubles if the magnetic field B is doubled: True. Doubling the magnetic field strength doubles the magnetic flux, which leads to a doubling of the induced EMF.

These principles help us to understand the operation of an electric generator, where mechanical work is converted into electrical energy.

Learn more about Induced EMF in Generators here:

https://brainly.com/question/35906586

#SPJ3

Clearly, Atwood’s machine has a lot of systematic error that would not be present if we were to simplify the experiment. What is one reason we might expect to get better results using Atwood’s machine rather than following Galileo’s example and just dropping objects off of tall buildings?

Answers

Answer:

Better Equilibrium Maintenance for better accuracy...

Explanation:

In the Galileo's experiment, there is no utilization of two equal masses at a time. However, as we can see in a Atwood Machine, there are two equal masses involved that make the whole system to be in a state of equilibrium and ultimately the better measurements of acceleration due to gravity.

The three forces (in units of N) given below are acting on a 20 kg mass. Calculate the magnitude of the acceleration of the mass. stack F subscript 1 with rightwards harpoon with barb upwards on top equals 3 i with hat on top space space space space space stack F subscript 2 with rightwards harpoon with barb upwards on top equals 5 j with hat on top space space space space stack F subscript 3 with rightwards harpoon with barb upwards on top equals open parentheses i with hat on top minus 3 j with hat on top close parentheses space space A. 0.2 m/s^2 B. 0.224 m/s^2 C. 0.1 m/s^2 D. 1.0 m/s^2

Answers

Answer:

B. 0.224 m/s²

Explanation:

Given:

Mass of the object (m) = 20 kg

The forces acting on the object are:

[tex]\vec{F_1}=3\vec{i}\ N\\\\\vec{F_2}=5\vec{j}\ N\\\\\vec{F_3}=(\vec{i}-3\vec{j})\ N[/tex]

Now, the net force acting on the object is equal to the vector sum of the forces acting on it. Therefore,

[tex]\vec{F_{net}}=\vec{F_1}+\vec{F_2}+\vec{F_3}\\\\\vec{F_{net}}=3\vec{i}+5\vec{j}+\vec{i}-3\vec{j}\\\\\vec{F_{net}}=(3+1)\vec{i}+(5-3)\vec{j}\\\\\vec{F_{net}}=(4\vec{i}+2\vec{j})\ N[/tex]

Now, the magnitude of the net force is equal to the square root of the sum of the squares of its components and is given as:

[tex]|\vec{F_{net}}|=\sqrt{4^2+2^2}\\\\|\vec{F_{net}}|=\sqrt{20}\ N[/tex]

Now, from Newton's second law, the magnitude of acceleration is equal to the ratio of the magnitude of net force and mass. So,

Magnitude of acceleration is given as:

[tex]|\vec{a}|=\dfrac{|\vec{F_{net}}|}{m}\\\\|\vec{a}|=\frac{\sqrt{20}\ N}{20\ kg}\\\\|\vec{a}|=0.224\ m/s^2[/tex]

Therefore, option (B) is correct.

What are the radius and height above the ground of a circular geosynchronous orbit around the Earth (in m and Earth radii)? Is this a high or low orbit? How does its height compare with the height of the orbit of the International Space Station (about 360 km)? [HINT: You'll need to derive an algebraic relation between orbit radius and period, instead of just radius and speed.] (b)

Answers

Answer: radius r = 42360.7km

Height above ground = 35950.7km

The height of the satellite above the ground is about 100 times the height of the ISS above the ground.

This is a high orbit.

Explanation: a synchronous satellite of mass m, revolving around earth with angular speed w, having a radius of travel r will experience centripetal force F = m*r*w^2*

But w = 2¶/T

F = m*r*(2¶/T)^2

F = (4*m*r*¶^2)/T^2

For the same body on the surface of the earth of radius R, the force F will be F =mg

According to newton's law,

(4*m*r*¶^2)/T^2 is proportional to 1/r^2

also mg is proportional to 1/R^2

Therefore,

(4*m*r*¶^2)/T^2 = K/r^2,

mg = K/R^2

Equating the two we get

K = gR^2 = (4*r^3*¶^2)/T^2 (where K is a constant equal to the product of mass of earth M and gravitational constant.)

r^3 = (g*R^2*T^2)/(4x3.142^2)

Substituting values of g=9.81m/s2

R = 6400000m (radius of earth)

T = 60x60x24 = 86400s (synchronous orbit has period equal one day)

r = 42350775.04m = 42350.7km

Height above ground H = r - R

H = 42350.7 - 6400 = 35950.7km

Please verify with calculator. Thanks

During a baseball game, a baseball is struck at ground level by a batter. The ball leaves the baseball bat with an initial velocity v0 = 26 m/s at an angle θ = 17° above horizontal. Let the origin of the Cartesian coordinate system be the ballʼs position at impact. Air resistance may be ignored throughout this problem.


a) express the magnitude of the ball's initial horizontal velocity, v0x, in terms of v0 and theta.


b) express the magnitude of the ball's inital vertical velocity, v0y, in terms of v0 and theta.


c) find the ball's maximum vertical height, hmax, in meters above ground.


d) create an expression in terms of v0, theta, and g for the time (tmax) it takes the ball to travel to its maximum vertical height.


e) calculate the horizontal distance, xmax, in meters the ball has traveled when it returns to ground level.

Answers

Answer: a) vox = vo × cos θ, b) voy =vo× sin θ,

c) H=2.94 m, d) t = vo sinθ / g, e) R = 38.57 m

Explanation:

A)

The velocity v0 is at angle θ to the horizontal.

The horizontal component of vo (vox), vo and the vertical component of vo (voy) all form a right angle triangle.

With vo as the hypotenus, vox as the adjacent and voy as the opposite.

To get vox, we relate vo and vox ( hypotenus and adjacent)

From trigonometry

Cos θ relates hypotenus and adjacent, hence we have that

Cos θ = vox/vo

vox = vo × cos θ

B)

To get the vertical component of vo, we relate vo and voy ( hypotenus and opposite).

According to trigonometry, sin θ relates hypotenus and opposite, hence we have that

Sin θ = voy/vo

voy =vo× sin θ

C)

The formulae for the maximum height of a projectile motion is given as

H = vo² (sin θ)²/2g

Where g = acceleration due to gravity = 9.8 m/s²

By substituting the parameters, we have that

H = 26² × (sin 17)²/2(9.8)

H = 676 × 0.0854/19.6

H = 57.7304/ 19.6

H = 2.94 m

D)

This is the motion of a projectile and the conditions at maximum height are vy = 0 and ay = - g

From the equation of motion

vy = voy - gt

0 = voy - gt

But voy = vo sinθ

0 = vo sinθ - gt

gt = vo sinθ

t = vo sinθ / g

E)

The horizontal distance covered formulae is given by

R = u² sin2θ/g

R = 26² × sin 2(17)/9.8

R = 676 × sin 34/ 9.8

R = 378.014/ 9.8

R = 38.57 m

The correct Answer is:

a) vox = vo × cos θ, b) voy =vo× sin θ,c)  H=2.94 m, d) t = vo sinθ / g, e) R = 38.57 m

A) When The velocity v0 is at angle θ to the horizontal.When The horizontal component of vo (vox), vo, and also that the vertical component of vo (voy) all form a right angle triangle.Although when With vo as the hypotenuse, vox as the adjacent and voy as the opposite.Then To get vox, we relate vo and also that vox ( hypotenuse and adjacent)When From trigonometryAlso, Cos θ relates hypotenuse and adjacent, hence we have thatThen Cos θ = vox/voThen vox = vo × cos θ

B) When To get the vertical component of vo, we relate to and also voy ( hypotenuse and also opposite).According to trigonometry, sin θ relates to the hypotenuse and also that opposite, hence we have thatThen Sin θ = voy/voThen voy =vo× sin θ

C) When The formulae for the maximum height of a projectile motion is given asH = vo² (sin θ)²/2gWhere that g = acceleration due to gravity = 9.8 m/s²By substituting the parameters, we have thatThen H = 26² × (sin 17)²/2(9.8)Then H = 676 × 0.0854/19.6Then H = 57.7304/ 19.6Then H = 2.94 m

D) When This is the motion of a projectile and the conditions at maximum height are vy = 0 and ay = - g From the equation of motionvy = voy - gt0 = voy - gtBut voy = vo sinθ0 = vo sinθ - gtgt = vo sinθt = vo sinθ / g

E) When The horizontal distance covered formulae is given byR = u² sin2θ/gR = 26² × sin 2(17)/9.8R = 676 × sin 34/ 9.8R = 378.014/ 9.8R = 38.57 m

Learn more about:

https://brainly.com/question/19028701

A ball of mass I .5 kg falls vertically downward. Just before striking the floor, its speed is 14 m/s. Just after rebounding upward, its speed is 10 m/s.
If this change of velocity took place in 0.20 seconds, what is the average force of the ball on the floor?

Answers

Answer:

180 N

Explanation:

We know that acceleration is the rate of change of speed per unit time hence

[tex]a=\frac {v_f-v_i}{t}[/tex] where v and t are velocity and time respectively, f and i represent final and initial.

Also, from Newton's law of motion, F=ma and replacing a with the above then

[tex]F=m\frac {v_f-v_i}{t}[/tex]

Substituting 1.5 Kg for mass, m -14 m/s for i and 10 m/s for for v then

[tex]F=1.5\times \frac {10--14}{0.2}=180 N[/tex]

Therefore, the force is 180 N

Final answer:

The average force exerted by a 1.5 kg ball on the floor, falling with a speed of 14 m/s and rebounding with a speed of 10 m/s over 0.20 seconds, is 180 N.

Explanation:

The subject of this question is Physics and from the concept of impulse and momentum. The change in momentum equals the product of force and the time over which the force is applied. So, we can calculate the force using this formula: Force = Change in momentum / Time.

In this case, the ball's momentum changes by the difference in velocity multiplied by the mass of the ball, which is (14 m/s + 10 m/s) * 1.5 kg. The reason the velocities are added is because the direction of velocity changes, making the speed of ball before and after striking the floor of equal magnitude but opposite in direction. So, the change in momentum becomes 36 kg*m/s. Given that the time is 0.20 seconds, the force would be 36 kg*m/s divided by 0.20 s, or 180 N.

Learn more about Force here:

https://brainly.com/question/36258739

#SPJ3

The 500-kg cylindrical drum is supported by a metal cable (A-B) and a rigid plate (B-C). If the contact between the drum and all surfaces is frictionless and its radius is 500 mm, compute the elongation of the cable (A-B). The elastic modulus of A-B is 200 GPa. A, B, and C are pinned joints. Note that the cross section of Cable A-B is 5 mm2 .

Answers

Explanation:

Beloware attachments containing the complete question and solution.

A charged particle isinjected into a uniform magnetic field such that its velocityvector is perpendicular to themagnetic field vector. Ignoring the particle's weight, the particlewill

A) follow a spiralpath.
B) move in a straight line.
C) move along a parabolic path.
D)follow a circular path.

Answers

A charged particle is injected into a uniform magnetic field such that its velocity vector is perpendicular to the magnetic field vector. Ignoring the particle's weight, the particle will follow a circular path.

Option D

Explanation:

Magnetic force causes charged particles to move in spiral paths. The Particle accelerators keep the protons to follow circular paths when it is in the magnetic field. Velocity has a change in direction but magnitude remains the same when this condition exists.

The magnetic force exerted on the charged particle is given by the formula:

         [tex]F=q v B \sin \theta[/tex]

where

q is the charge

v is the velocity of the particle

B is the magnetic field

[tex]\theta[/tex] is the angle

In this problem, the velocity is perpendicular to the magnetic field vector, hence

[tex]\theta[/tex] = [tex]90^{\circ}[/tex] and sin[tex]\boldsymbol{\theta}[/tex] =sin 90 degree = 1.

So applying the formula,

the force is simply [tex]F=q v B[/tex]

Also, the force is perpendicular to both B and v and so according to the right-hand rule, we have:

a force that is always perpendicular to the velocity, va force which is constant in magnitude (because the magnitude of v or B does not change)

This means that the force acts as a centripetal force, so it will keep the charged particle in a uniform circular motion.

Fluid originally flows through atube at a rate of 200 cm3/s. Toillustrate the sensitivity of the Poiseuille flow rate to variousfactors, calculate the new flowrate for the following changes with all other factors remaining the same as in the original conditions: A new fluid with 6.00 times greater viscosity is substituted. Poiseuille flow is given by:

Answers

Answer:

[tex]Q_{2}=1200cm^{3}/s[/tex]

Explanation:

Given data

Q₁=200cm³/s

We know that:

[tex]F=n\frac{vA}{l}\\[/tex]

can be written as:

ΔP=F/A=n×v/L

And

Q=ΔP/R

As

n₂=6.0n₁

So

Q=ΔP/R

[tex]Q=\frac{nv}{lR}\\ \frac{Q_{2}}{n_{2}}= \frac{Q_{1}}{n_{1}}\\ Q_{2}=\frac{Q_{1}}{n_{1}}*(n_{2})\\Q_{2}=\frac{200}{n_{1}}*6.0n_{1}\\ Q_{2}=1200cm^{3}/s[/tex]

A piston raises a weight, then lowers it again to its original height. If the process the system follows as the piston rises is isothermal, and as it falls is isobaric, then is the work done by the gas positive, negative, or zero? Explain

Answers

Answer:

Negative

Explanation:

First law of thermodynamic also known as the  law of conservation of energy states that the total energy of an isolated system is constant; energy can be transformed from one form to another, but can be neither created nor destroyed.

The first law relates  relates changes in internal energy to heat added to a system and the work done by a system by the conservation of energy.

The first law is mathematically given as ΔU  = [tex]U_{F}[/tex] - [tex]U_{0}[/tex] = Q - W

Where Q  = Quantity of heat

            W = Work done

From the first law The internal energy has the symbol U. Q is positive if heat is added to the system, and negative if heat is removed; W is positive if work is done by the system, and negative if work is done on the system.

Analyzing the pistol when it raises in isothermal and when it falls in  isobaric state.The following can be said:

In the Isothermal compression of a gas there is work done on the system to decrease the volume and increase the pressure. For work to be done on the system it is a negative work done then.

In the Isobaric State An isobaric process occurs at constant pressure. Since the pressure is constant, the force exerted is constant and the work done is given as PΔV.If a gas is to expand at a constant pressure, heat should be transferred into the system at a certain rate.Isobaric is a fuction of heat which is Isothermal Provided the pressure is kept constant.

In Isobaric definition above it can be seen that " Heat should be transferred into the system ata certain rate. For heat to be transferred into the system work is deinitely been done on the system thereby favouring the negative work done.

A wire 1 mm in diameter is connected to one end of a wire of the same material 2 mm in diameter of twice the length. A voltage source is connected to the wires and a current is passed through the wires. If it takes time T for the average conduction electron to traverse the 1-mm wire, how long does it take for such an electron to traverse the 2-mm wire

Answers

Answer:

T = 2 T₀

Explanation:

To answer this question let's write the expression for electrical conductivity

    σ = n e2 τ / m*

The relationship with resistivity is

       ρ = 1 /σ

Whereby the resistance

        R = ρ L / A = 1 /σ  L / A

We see that there is no explicit relationship between time and resistance, there is only a dependence on the life time (τ) that depends on the properties of the material, not on its diameter or length.

As also the average velocity or electron velocity of electrons is constant, the time to cross 2 mm in length is twice as long as the time to cross a mm in length

 T = 2 T₀

A ladybug sits at the outer edge of a turntable, and a gentleman bug sits halfway between her and the axis of rotation. The turntable (initially at rest) begins to rotate with its rate of rotation constantly increasing. 1)What is the first event that will occur

Answers

Answer:

The answer to the question is

The ladybug begins to slide

Explanation:

To solve the question we assume that the frictional force of the ladybug and the gentleman bug are the same

Where the  frictional force equals [tex]F_{Friction}[/tex] = μ×N = m×g×μ

and the centripetal force is given by m·ω²·r

If we denote the properties of the ladybug as 1 and that of the gentleman bug as 2, we have

m₁×g×μ = m₁·ω²·r₁ ⇒ g×μ = ω²·r₁

and for the gentleman bug we have

m₂×g×μ = m₂·ω²·r₂ ⇒ g×μ = ω²·r₂

But r₁ = 2×r₂

Therefore substituting the values of r₁ =2×r₂ we have

g×μ = ω²·r₁ = g×μ = ω²·2·r₂

Therefore   ω²·r₂ = 0.5×g×μ for the ladybug. That is the ladybug has to overcome half the frictional force experienced by the gentleman bug before it start to slide

The ladybug begins to slide

The electric potential, when measured at a point equidistant from two particles that have charges equal in magnitude but of opposite sign, isA) equal to the net electric field B) smaller than zero C) equal to zero D) equal to the averages of the two distances times the charge E) larger than zero

Answers

Answer:

C) equal to zero

Explanation:

Electric potential is calculated by multiplying constant and charge, then dividing it by distance. The location that we want to measure is equidistant from two particles, mean that the distance from both particles is the same(r2=r1). The charges of the particle have equal strength of magnitude but the opposite sign(q2=-q1). The resultant will be:V = kq/r

ΔV= V1 + V2= kq1/r1 + kq2/r2

ΔV= V1 + V2= kq1/r1 + k(-q1)/(r)1

ΔV= kq1/r1 - kq1/r1

ΔV=0

The electric potential equal to zero

A rectangular tank that is 4 meters long, 3 meters wide and 6 meters deep is filled with a rubbing alcohol that has density 786 kilograms per cubic meter. In each part below, assume that the tank is initially full, and that gravity is 9.8 meters per second squared. Your answers must include the correct units.
(a) How much work is done pumping all of the liquid out over the top of the tank?
(b) How much work is done pumping all of the liquid out of a spout 2 meters above the top of the tank?
(c) How much work is done pumping two-thirds of the liquid out over the top of the tank?
(d) How much work is done pumping two-thirds of the liquid out of a spout 2 meters above the top of the tank?

Answers

Final answer:

The work done pumping the liquid out of the tank relies on the weight of the mass being lifted, the gravity, and the height it is being lifted to. Calculations are given for lifting all the fluid and two-thirds of it to two different heights.

Explanation:

To calculate the work done pumping the liquid out of the tank, we first need to find the volume of the tank, which is 4 meters * 3 meters * 6 meters, giving a total of 72 cubic meters of rubbing alcohol. Multiplying this by the density of the alcohol (786 kg/m^3) gives us the total mass of the alcohol, 56,592 kg. The work done by gravity when an object is lifted is equal to the weight of the object (mass*gravity) multiplied by the distance it is lifted (height). Therefore, we can calculate the work done pumping the liquid out of the tank:

(a) The height is 6 m, so the work done is 56,592 kg * 9.8 m/s^2 * 6m = 3,331,723.2 J (b) The height is 8m (6m + 2m), so the work done is 56,592 kg * 9.8 m/s^2 * 8m = 4,442,297.6 J (c) Two thirds of the liquid is 37,728 kg, height is 6m, so the work done is 37,728 kg * 9.8 m/s^2 * 6m = 2,221,148.8 J (d) Two thirds of the liquid is 37,728 kg, height is 8m, so the work done is 37,728 kg * 9.8 m/s^2 * 8m = 2,961,531.2 J.

Learn more about Work Done here:

https://brainly.com/question/35917320

#SPJ3

The work done to pump all of the liquid out over the top of the tank is calculated as 1665568.8 J, and 4441516.8 J through a spout 2 meters above the tank. To pump out two-thirds of the liquid over the top, the work is 1109203.2 J, and through the spout, it is 2957875.2 J. Each part uses the weight of the liquid and the distance it needs to be moved to calculate the work done.

Part a :

To find the work done, we need to calculate the force required to move the liquid to the top of the tank and the distance it needs to be moved.

Calculate the volume of the tank:

Volume = length × width × depth = 4 m × 3 m × 6 m = 72 m³.

Calculate the mass of the liquid:

Mass = density × volume = 786 kg/m³ × 72 m³ = 56652 kg.

Calculate the weight of the liquid:

Weight = mass × gravity = 56652 kg × 9.8 m/s² = 555189.6 N.

Calculate the center of mass:

The center of mass for a full tank is at half the depth:

3 meters.

Calculate the work done:

Work = weight × height = 555189.6 N × 3 m = 1665568.8 J (Joules).

Part b :

Here, the height the liquid needs to be moved is 6 m (tank height) + 2 m (spout height):

6 + 2 = 8 meters.

Work = weight × height

Work = 555189.6 N × 8 m = 4441516.8 J.

Part c :

Calculate the volume of two-thirds of the tank:

Volume = (2/3) × 72 m³ = 48 m³.

Calculate the mass of two-thirds of the liquid:

Mass = 786 kg/m³ × 48 m³ = 37728 kg.

Calculate the weight of two-thirds of the liquid:

Weight = 37728 kg × 9.8 m/s² = 369734.4 N.

Since the tank is still of uniform depth, the center of mass for the remaining liquid will be halfway up the tank's current depth:

1.5 meters (half of the 3 meters left).

Work = weight × height

Work = 369734.4 N × 3 m = 1109203.2 J.

Part d :

Height the liquid needs to be moved = 6 m (tank height) + 2 m (spout height) = 8 meters.

Work = weight × height

Work = 369734.4 N × 8 m = 2957875.2 J.

What is the magnifying power of an astronomical telescope using a reflecting mirror whose radius of curvature is 5.5 mm and an eyepiece whose focal length is 2.9 cmcm ? Follow the sign conventions.

Answers

The magnifying power of an astronomical telescope will be:

"0.095".

Telescope: Focal length and Power

According to the question,

Radius of curvature, R = 5.5 mm

Focal length of eyepiece, [tex]F_e[/tex] = 2.9 cm

We know that,

→ Focal length of mirror,

F₀ = [tex]\frac{Radius \ of \ curvature}{2}[/tex]

By substituting the values,

    = [tex]\frac{5.5}{2}[/tex]

    = 2.75 mm or,

    = 0.278 cm

hence,

The telescope's magnification be:

= [tex]\frac{F_0}{F_e}[/tex]

= [tex]\frac{0.275}{2.9}[/tex]

= 0.095

Thus the above approach is correct.

Find out more information about magnification here:

https://brainly.com/question/1477543

Final answer:

The magnifying power of the astronomical telescope using the given values is approximately 0.19.

Explanation:

In order to find the magnifying power of an astronomical telescope, we need to use the formula:

Magnifying Power = Angular Magnification = (focal length of objective) / (focal length of eyepiece)

Given that the radius of curvature of the reflecting mirror is 5.5 mm (which is equal to 0.55 cm) and the focal length of the eyepiece is 2.9 cm, we can substitute these values into the formula to find the magnifying power.

Magnifying Power = (radius of curvature of mirror) / (focal length of eyepiece)

Magnifying Power = 0.55 cm / 2.9 cm

Magnifying Power = 0.19

Therefore, the magnifying power of the astronomical telescope is approximately 0.19.

A 25-kg iron block initially at 350oC is quenched in an insulated tank that c ontains 100 kg of water at 18oC. Assuming the water that vaporizes during the process condenses back in the tank, determine the total entropy change during this process.

Answers

Answer: 4.08kg/J

Explanation: Please find the attached file for the solution

Answer:

Entropy = 4.08 kj/k

Explanation:

From energy balance in first law of thermodynamics, we have;

Δv(i)+ ΔU(h2o) = 0

Thus;

[MCp(T2 - T1)]iron + [MCp(T2 - T1)]water = 0

Where Cp is specific heat capacity

For iron, Cp = 0.45 Kj/kg°C and for water, Cp = 4.18 Kj/kg°C

From question, Mass of iron =25kg while mass of water = 100kg

And Initial temperature of iron (T1) = 350°C while initial temperature of water(T1) = 18°C

Thus,

[25 x 0.45(T2 - 350)] + [100 x 4.18(T2 - 18)] = 0

11.25T2 - 3937.5 + 418T2 - 7524 = 0

So,

429.25T2 = 11461.5

T2 = 26.7 °C

Now for entropy, we have convert the temperature from degree celsius to kelvins.

Thus, for iron T1 = 350 + 273 = 623K and for water, T1 = 18 + 273 = 291 K. Also, T2 = 26.7 + 273 = 299.7K.

The entropy changes will be;

For iron ;

Δs(i) = MCp(In(T2/T1)) = 25 x 0.45(In(299.7/623)) = -8.23 Kj/k

Now, for water;

Δs(water) = MCp(In(T2/T1)) = 100 x 4.18(In(299.7/291)) = 12.31 kj/k

Thus, total entropy will be the sum of that of iron and water.

Δs(total) = 12.31 kj/k - 8.23 Kj/k = 4.08 kj/k

A small toy car draws a 0.50-mA current from a 3.0-V NiCd battery. In 10 min of operation, (a) how much charge flows through the toy car, and (b) how much energy is lost by the battery? 4. (Resistance and Ohm’s law, Prob. 17.16, 1.0 point) How

Answers

Answer:

(a) 0.3 C

(b) 0.9 J

Explanation:

(a)

Given:

Current drawn (I) = 0.50 mA = 0.50 × 10⁻³ A

Terminal voltage (V) = 3.0 V

Time of operation (t) = 10 min = 10 × 60 = 600 s

Charge flowing through the toy car 'Q' is given as:

[tex]Q=It[/tex]

Plug in the given values and solve for 'Q'. This gives,

[tex]Q=(0.50\times 10^{-3}\ A)(600\ s)\\\\Q=0.3\ C[/tex]

Therefore, 0.3 C charge flows the toy car.

(b)

Energy lost by the battery is equal to the product of power consumed by the battery and time of operation.

Power consumed by the battery is given as:

[tex]P=VI[/tex]

Plug in the given values and solve for 'P'. This gives,

[tex]P=(3.0\ V)(0.50\times 10^{-3}\ A)\\\\P=1.5\times 10^{-3}\ W[/tex]

Therefore, the energy lost by the battery is given as:

[tex]E=P\times t\\\\E=1.5\times 10^{-3}\ W\times 600\ s\\\\E=0.9\ J[/tex]

Therefore, the energy lost by the battery is 0.9 J

A rotating space station is said to create "artificial gravity"—a loosely-defined term used for an acceleration that would be crudely similar to gravity. The outer wall of the rotating space station would become a floor for the astronauts, and centripetal acceleration supplied by the floor would allow astronauts to exercise and maintain muscle and bone strength more naturally than in non-rotating space environments.If the space station is 200 m in diameter, what angular velocity would produce an "artificial gravity" of 9.80 m/s2 at the rim?

Answers

Answer:

The required angular velocity (ω) will be [tex]0.313~rads^{-1}[/tex].

Explanation:

Due to the rotation of the space station the astronauts experience a centripetal acceleration towards the centre of the space station. If '[tex]\large{a_{c}}[/tex]', 'ω' and 'R' represent the centripetal acceleration, angular velocity of the space station and the radius of the space station respectively, then

[tex]a_{c} = \omega^{2}.R[/tex]

As according to the problem the space station has to rotate in such an angular velocity that it produces the same "artificial gravity" as Earth's surface, we can write

[tex]a_{c} = g = 9.8 ms^{-2}[/tex]

Also given [tex]R = \dfrac{diameter~of~the~space~station}{2} = \dfrac{200 m}{2} = 100 m[/tex]

Therefore we can write,

[tex]&& a_{c} = g = \omega^{2}.R\\&or,& \omega = \sqrt{\dfrac{g}{R}} = \sqrt{\dfrac{9.8 ms^{-1}}{100 m}} = 0.313~rads^{-1}[/tex]

Consider a high pressure system with a value of 1045mb and a low pressure system with a value of 997mb. The two pressure systems are 250 km apart. The pressure gra the two pressure systems is: A. 48mb/250km (0.19mb/km) B. 250mb/48km (5.21mb/km) C. 16mb/40km (0.4mb/km) D. Imb/25km (0.04mb/km).

Answers

Answer:

GRadient= 0.192 mb / km ,   the correct answer is a

Explanation:

The pressure gradient would be considered linear so we can use a proportional rule to find the gradient

          Gradient = Dp / Dd

          Gradient = (1045 -997) / 250

          Gradient = 48/250

          GRadient= 0.192 mb / km

         

The correct answer is a

A voltmeter is connected to the terminals of the battery; the battery is not connected to any other external circuit elements. What is the reading of the voltmeter V? Express your answer in volts. Use three significant figures.

Answers

Answer:

12 volts.

Explanation:

Equal to the emf of battery. internal resistance won't count because the internal resistance is only apparent when a current passes through the battery.

The voltmeter reading is the terminal voltage, which is slightly less than the EMF due to the internal resistance of the battery and the small current drawn by the voltmeter. The exact value in volts is not provided due to the unknown internal resistance.

When a voltmeter is connected to the terminals of a battery without any other external circuit elements, it measures the terminal voltage of the battery.This terminal voltage (V) is related to the electromotive force (emf, denoted as E) of the battery by the equation V = E - Ir, where I is the current flowing through the voltmeter and r is the internal resistance of the battery.Due to the small but nonzero current drawn by the voltmeter, the reading will be slightly less than the actual EMF of the battery.Since the internal resistance is not known precisely, the voltmeter reading cannot exactly equal the emf.

Two loudspeakers, 4 meters apart and facing each other, play identical sounds of the same frequency. You stand halfway between them, where there is a maximum of sound intensity. Moving from this point towards one of the speakers, you encounter a minimum of sound intensity when you have moved 0.25 meters. Velocity of the sound is 343 m/s
A.What is the frequency of the sound?
B.If the frequency is then increased while you remain 0.35m from the center, what is the first frequency for which that location will be a maximum of sound intensity?
m/s

Answers

Answer:

Explanation:

Minimum intensity occurs due to destructive interference of sound. For it to take place ,

path difference = odd multiple of half wave length

When moved by .025 m ,

path difference created = ( x + .25 ) - ( x - .25 )

= 2 x .25

= .5 m

So .5 = half wave length

wave length = 2 x .5

= 1 m

frequency = velocity / wave length

= 343 / 1

= 343 Hz

B )

Now when frequency is increased , wave length will be decreased . For maximum intensity , constructive interference will have to take place .

For that

path difference = integral multiple of wave length

0.5 = 1 x wave length

wave length = .5

frequency = 343 / .5

= 686 Hz

For your senior project, you would like to build a cyclotron that will accelerate protons to 10% of the speed of light. The largest vacuum chamber you can find is 60 cm in diameter.

Answers

The given question is incomplete. The complete question is as follows.

For your senior project, you would like to build a cyclotron that will accelerate protons to 10% of the speed of light. The largest vacuum chamber you can find is 60 cm in diameter.

What magnetic field strength will you need?

Explanation:

Formula for the strength of magnetic field is as follows.

      B = [tex]\frac{mv}{qr}[/tex]

Here,    m = mass of proton = [tex]1.67 \times 10^{-27}[/tex] kg

      v = velocity = 10% of [tex]3 \times 10^{8}[/tex] = [tex]3 \times 10^{7}[/tex] m/s

      q = charge of proton = [tex]1.6 \times 10^{-19} C[/tex]

      r = radius = [tex]\frac{60}{2}[/tex] = 30 cm = 0.30 m   (as 1 m = 100 cm)

Therefore, magnetic field will be calculated as follows.

            B = [tex]\frac{mv}{qr}[/tex]

               = [tex]\frac{1.67 \times 10^{-27} \times 3 \times 10^{7}}{1.6 \times 10^{-19} C \times 0.30 m}[/tex]

               = [tex]\frac{5.01 \times 10^{-20}}{0.48 \times 10^{-19}}[/tex]

               = 1.0437 T

Thus, we can conclude that magnetic field strength is 1.0437 T.

Final answer:

The student queries about the construction of a cyclotron to accelerate protons to a specific velocity. The radius and rotational period of protons within the cyclotron are calculated using the magnetic field strength and the desired velocity.

Explanation:

The student is interested in building a cyclotron that can accelerate protons to 10% of the speed of light, with specific constraints on the vacuum chamber dimensions. In physics, particularly in the field of particle accelerators, a cyclotron is a type of particle accelerator that uses a combination of an electric field and a constant magnetic field to increase the kinetic energy of charged particles. The radius of the cyclotron, which determines the maximum orbit size for the particles being accelerated, is a critical design parameter and can be calculated based on the desired kinetic energy of the particles and the strength of the magnetic field.

In the context of a cyclotron, the student might need to calculate the rotational period and maximum radius of proton orbits within given specifications such as the strength of the magnetic field and desired velocity. Understanding the principles behind cyclotrons and particle acceleration is essential for this project, which falls under the umbrella of advanced physics topics.

A proton moves through a magnetic field at 26.7 % 26.7% of the speed of light. At a location where the field has a magnitude of 0.00687 T 0.00687 T and the proton's velocity makes an angle of 101 ∘ 101∘ with the field, what is the magnitude of the magnetic force acting on the proton?

Answers

Answer:

[tex]8.64283\times 10^{-14}\ N[/tex]

Explanation:

q = Charge of proton = [tex]1.6\times 10^{-19}\ C[/tex]

v = Velocity of proton = [tex]0.267\times c[/tex]

c = Speed of light = [tex]3\times 10^8\ m/s[/tex]

B = Magnetic field = 0.00687 T

[tex]\theta[/tex] = Angle = [tex]101^{\circ}[/tex]

Magnetic force is given by

[tex]F=qvBsin\theta\\\Rightarrow F=1.6\times 10^{-19}\times (0.267\times 3\times 10^8)\times 0.00687\times sin101\\\Rightarrow F=8.64283\times 10^{-14}\ N[/tex]

The magnetic force acting on the proton is [tex]8.64283\times 10^{-14}\ N[/tex]

Which of the following statements is/are true? Check all that apply.

1) A person's power output limits the amount of work that he or she can do in a given time span.
2) The SI unit of power is the watt.
3) Power can be considered the rate at which energy is transformed.
4) Power can be considered the rate at which work is done.
5) A person's power output limits the total amount of work that he or she can do.
6) The SI unit of power is the horsepower.

Answers

Answer:

The statements which are true are:

1) A person's power output limits the amount of work that he or she can do in a given time span.

2) The SI unit of power is the watt.

4) Power can be considered the rate at which work is done.

Explanation:

Power can be defined as the the rate at which the work is done. Mathematically,

[tex]\large{P = \dfrac{W}{t}}[/tex]

where '[tex]W[/tex]' is the amount of work done in time '[tex]t[/tex]'.

Also one can perform some work in the expense of the energy that he/she consumes. So alternatively power can also be defined as the rate at which the energy is expended.

The SI unit of work done is Joule. So the unit of power in SI system is

[tex]Js^{-1}[/tex] or Watt.

A polarized Light of intensity I0 is incident on an analyzer. What should the angle between the axis of polarization of the light and the transmission axis of the analyzer be to allow 44% of the total intensity to be transmitted?

Answers

Answer:

You could use Malus's Law. Malus's Law tells us that if you have a polarized wave (of intensity I 0 0 ) passing through a polarizer the emerging intensity ( Y OR ) will be proportional to the square cosine of the angle between the polarization direction of the incoming wave and the axis of the polarizer.

Explanation:

OR: I = I 00 ⋅ cos two ( e )

The slope of a line on a distance-time graph represents _____. distance time displacement speed

Answers

Answer:

speed

Explanation:

The slope of a  line on any distance-time graph represents the speed of the object.

Velocity  only comes in when there is speed of the object in a particular direction.

If you pay him $200 up front, Freddie promises to paint your garage. But you'd be crazy to pay him anything up front because Freddie lies all the time, and every dime he gets his hands on he uses to feed his methamphetamine habit.a. False dichotomyb. Accident.c. Argument against the person, abusived. False cause.e. Argument against the person, circumstantial.

Answers

Answer: e

Explanation:

Argument against the person, circumstantial.

A planet in elliptical orbit around a star moves from the point in its orbit furthest from the star (A) to the closest point (P). Choose the planet to be your system. The work done by the force of gravity during this movement is:

Answers

Answer:

Zero work done,since the body isn't acting against  or by gravity.

Explanation:

Gravitational force is usually  considered as work done against gravity (-ve) and work by gravity ( +ve ) and also When work isn't done by or against gravity work done in this case is zero.

Gravitational force can be define as that force that attracts a body to any other phyical body or system that have mass.

The planet been considered as our system in this case is assumed to have mass, and ought to demonstrate such properties associated with gravitational force in such system. Such properties include the return of every object been thrown up as a result of gravity acting downwards. The orbiting nature of object along an elliptical part when gravitational force isn't acting on the body and it is assumed to be zero.

Other Questions
Identify each action listed here as a federal, state, or shared power.FederalSharedStateAppropriate funds for social programsConstruct a new highwayRedesign and print the hundred-dollar billDetermine the requirements to receive a driver's licenseRaise taxesNegotiate a trade agreement with the European Union Explain how the caste system is structured and why it results in social inequality. It doesn't have to be long, just a few sentences. 5.Glycogen and starch both give a (+) test with I2-KI and a (-) test with Benedict's. If you hydrolyzed these two polysaccharides and tested the solutions with the same two reagents what results would you get? Explain these results. Suppose an attacker intrudes upon one of your servers. How do you reconstruct the events of a crime? Log files are the first place to check for administrative issues and security activity. Log files help you put together a timeline of events surrounding everything from a performance problem to a security incident. During digestion, hydrochloric acid (HCl) lowers the stomach's pH and this causes the enzyme pepsinogen to be converted to its active form, called pepsin. Pepsin is a proteolytic enzyme, which means it cleaves (breaks) peptide bonds assocciated with food particles. The enzyme pepsin can also cleave pepsinogen into pepsin, and this causes the rate at which pepsinogen is converted to pepsin to increase. This is an example of: Which system works with the lungs so the cells of your body receive oxygen? whats the difference between an ark and a radius on a circle? Electron is organizing the bookcase in the school library. He makes sure each shelf has 15 books on it. There are 9 shelves of math books and 6 shelves of science books. The First Crusade:______.a. further strengthened Byzantine commerce and trade in the east. b. disrupted the trade routes between Byzantium and western Europe. c. disrupted Byzantine trade along the Silk Road to China. d. further weakened Byzantine commerce and trade in the east. e. had little impact on Byzantine trade because the Crusaders were primarily motivated by religion. What is an equivalent fraction of 2 los pases / conservar sus recursos naturales Question 2 with 1 blanklas futuras generaciones / no estar afectadas por nuestros errores Question 3 with 1 blankla poblacin / querer cambiar las leyes de deforestacin Question 4 with 1 blanklas personas / reducir el uso de los carros en las ciudades Question 5 with 1 blanktodos nosotros / saber resolver el problema del calentamiento global Janice is your director of sales. Since her team members are located in Europe, Asia, and North America, she has decided to use instant messaging to tie her team members together in order to develop a marketing strategy for a new product line. This is an example of a ________ team. Where is (-4) located on the number line? 1. Hank is an intelligent student and usually makes good grades, provided that he can review the course material the night before the test. For tomorrow's test, Hank is faced with a small problem: His fraternity brothers are having an all-night party in which he would like to participate. Hank has three options: a1 - party all night: 2-divide the night equally between studying and partying: 3 - study all night. Tomorrow's exam can be easy (s1), moderate (S2) or tough (53), depending on the professor's unpredictable mood. Hank anticipates the following scores: S1 S2 S3a1 85 60 40a2 92 85 81a3 100 88 82(a) Recommend a course of action for Hank based on each of the four criteria of decisions under uncertainty.(b) Suppose that Hank is more interested in the letter grade he will get. The dividing scores for the passing letter grades A to Dare 90, 80, 70 and 60, respectively. What should the decision/s be? Which is the best summary of this part of Antonys speech?Antony calls the assassins "honourable men but subtly turns the crowd against them.Antony believes that if Caesar were truly ambitious, he paid the price for it.When people die, the good they have done is often lost and their evil deeds endure.Antony agrees with Brutus that Caesar was ambitious. 8 months from now, your organization is planning to purchase new video conferencing equipment for a cost of $12,000. The equipment will have a useful life of 10 years and no salvage value. To pay for it, the organization plans to deposit $4,000 today in an investment account with an annual interest rate of 6.5%. In order to be able to purchase the equipment, the amount of additional money the organization must put in that investment account at the end of each month for 8 months is (select one): A. $1,536.79 B. $149.18 C. $533.90 D. $959.53 E. $42.09 F. $505.08 A section in a stained glass window is gaped like a trapezoid. The top base is 1 centimeter and the bottom base is 1.5 centimeters long. If the area of the section of glass is 3.5 square centimeters, how tall is the section? why do you think the time from 1929 to 1941 is called the great depression What would be the best way for the federal government to attract investors toward purchasing bonds over other investment options?increase the term of the treasury bonddesignate bonds for specific public goodsintroduce more Treasury notesoffer high interest rates Danny "Dimes" Donahue is a neighborhoods 9-year-old entrepreneur. His most recent venture is selling homemade brownies that he bakes himself. At a price of $2.75 each, he sells 250. At a price of $2.25 each, he sells 300. A. What is the elasticity of demand?B. Is demand elastic or inelastic over this price range?C. If demand had the same elasticity for a price decline from $2.25 to $1.75 as it does for the decline from $2.75 to $2.25, would cutting the price from $2.25 to $1.75 increase or decrease Danny's total revenue?