If we instead connect this headlight and starter in series with the 12.0 V battery, how much total power in W would the headlight and starter consume? (You may neglect any other resistance in the circuit and any change in resistance in the two devices.)

The angular acceleration of the pencil is 17 rad/sec^2

Explanation:

When the object is balanced at its center of mass then it is said to be motionless because the net force acts through the center of mass. If we shift the location of the net force then which results in the rotation of the object about the center of mass. The angular acceleration possessed by the object is proportional to the torque generated by the net force about the center of mass.

τ [tex]= I \alpha[/tex]

[tex]I[/tex] is the moment of inertia of a body

α  is the angular acceleration

Length of the pencil   L  =  15  c m  =  0.15  m

Mass of the pencil  = 10 g = 10 [tex]\times 10^{-3}[/tex] kg

Let  α be the angular acceleration of pencil

θ  be the inclination pencil from vertical

θ  =  10 °

Assume the pencil as thin rod and moment of inertia of the thin rod with the axis of rotation at one end is

[tex]I = \frac{mL^{2} }{3}[/tex]

When the pencil is balanced then the net torque acting on the pencil is zero and when we release the pencil and begin to fall then net torque acts on the pencil due to the weight of the pencil.

τ [tex]= F \times d[/tex]

τ [tex]= mgsin\theta \times \frac{L}{2}[/tex]

τ [tex]= 10 \times 10^{-3} \times 9.81 \times sin10 \times \frac{0.15}{2}[/tex]

τ [tex]= 1.277 \times 10^{-3} Nm[/tex]

We know that relation between torque and angular acceleration

τ [tex]= I\alpha[/tex]

[tex]\alpha = \frac{\tau}{I}[/tex]

[tex]\alpha = \frac{\tau}{\frac{mL^{2} }{3} }[/tex]

[tex]\alpha = \frac{1.277 \times 10^{-3} \times 3 }{10 \times 10^{-3} \times 0.15^{2} }[/tex]

[tex]\alpha = 17.02[/tex]

[tex]\alpha \approx 17 rad/sec^{2}[/tex]

The angular acceleration of the pencil is 17 rad/sec^2

Answer: A. Study conceptually the nature of the electric charge and force

Explanation: Since the electrons are the mobile charge carriers, they will therefore be the particles that are transferred. For this case, since the electrophorus is positively- charged, the electrons from the sphere will be attracted to the electrophorus and thus will be transfer there.

Answer:

a) [tex]U_{e} = 3 \times 10^{10}\,J[/tex], b) [tex]v \approx 7745.967\,\frac{m}{s}[/tex]

Explanation:

a) The potential energy is:

[tex]U_{e} = Q \cdot \Delta V[/tex]

[tex]U_{e} = (30\,C)\cdot (1.0\times 10^{9}\,V)[/tex]

[tex]U_{e} = 3 \times 10^{10}\,J[/tex]

b) Maximum final speed:

[tex]U_{e} = \frac{1}{2}\cdot m \cdot v^{2}\\v = \sqrt{\frac{2\cdot U_{e}}{m} }[/tex]

The final speed is:

[tex]v=\sqrt{\frac{2\cdot (3 \times 10^{10}\,J)}{1000\,kg} }[/tex]

[tex]v \approx 7745.967\,\frac{m}{s}[/tex]

The change in the energy transferred or potential energy is 3 x 10¹⁰ J.

The final speed of the charge released is 7745.97 m/s.

The change in the energy transferred or potential energy is calculated as follows;

U = QV

U = 30 x 1 x 10⁹

U = 3 x 10¹⁰ J

The speed of the charge released is calculated by applying law of conservation of energy.

[tex]K.E = U\\\\\frac{1}{2} mv^2 = U\\\\v= \sqrt{\frac{2U}{m} } \\\\v = \sqrt{\frac{2\times 3\times 10^{10} }{1000} }\\\\v = 7745.97 \ m/s[/tex]

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The student should accelerate and travel through the intersection.

Explanation:

As per the given problem, the velocity with which the car of the student is moving is 14.7 m/s and he is 20 m away from intersection. Also the width of intersection is 10 m. It is also stated that traffic lights will change from yellow to red in 3 s. So totally , the student has to cover a distance of 30 m in 3 s to avoid getting stopped in intersection.

The velocity or speed required by the car to cover 30 m in 3 s is 30/3 = 15 m/s.

And the car is moving with initial velocity of 14.7 m/s. The student has two options either to decelerate at 4m/s² rate or to accelerate at the rate of 2 m/s².

So the velocity or speed of the car in 3 s with acceleration of 2 m/s² will be

Velocity = Acceleration × Time = 2 × 3 =6 m/s.

Thus on accelerating the car by 2 m/s² in 3 s, it will have the speed of 6 m/s and it can cover a distance of 6 × 3 = 18 m.

And the time taken by the car to reach from 20 m to intersection point with speed of 14.7 m/s is 20/14.7 = 1.36 s.

So, the car will take 1.36 s to reach the entrance of intersection with the speed of 14.7 m/s. But if it gets accelerated to 2 m/s², then it will have an increase in speed which will make the car to cover the complete intersection without stopping. So the student should accelerate the car.

Answer:

Option A is correct.

Inheritance, superclass, subclass

A new class of objects can be created conveniently by **inheritance**; the new class (called the **superclass**) starts with the characteristics of an existing class (called the **subclass**), possibly customizing them and adding unique characteristics of its own.

Explanation:

A class is a term in object oriented programming that is extensible program code used to create, name and implement what you want the objects to do.

Inheritance is used to describe the making of new classes from already existing classes. The general properties of the old classes remain in the new classes created from them.

Hence, the new classes (because they're usually an improvement on the old classes as they hold on to the wanted properties of the old classes and additional great ones are added or modified) are called superclasses and the old, already existing ones are called subclasses.

The missing words from the given paragraph are inheritance, superclass and subclass respectively.

The given problem is based on the concept of Object Oriented Programming (OOPs). A class is a term in object oriented programming that is extensible program code used to create, name and implement what you want the objects to do.

Inheritance is used to describe the making of new classes from already existing classes. The general properties of the old classes remain in the new classes created from them.

Hence, the new classes (because they're usually an improvement on the old classes as they hold on to the wanted properties of the old classes and additional great ones are added or modified) are called super classes and the old, already existing ones are called subclasses.

So, the complete paragraph will be,

A new class of objects can be created conveniently by inheritance; the new class (called the superclass) starts with the characteristics of an existing class (called the subclass), possibly customizing them and adding unique characteristics of its own.

Thus, we can conclude that the missing words from the given paragraph are inheritance, superclass and subclass respectively.

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Answer:

The scientist will be looking for the velocity of the wave in air which is equivalent to 10^7m/s

Explanation:

If an object in space is giving off a frequency of 10^13Hz and wavelength of 10^-6m then the scientist will be looking for the velocity of the object in air.

The relationship between the frequency (f) of a wave, the wavelength (¶) and the velocity of the wave in air(v) is expressed as;

v = f¶

Given f = 10^13Hz and ¶ = 10^-6m,

v = 10¹³ × 10^-6

v = 10^7 m/s

The value of the velocity of the object in space that the scientist will be looking for is 10^7m/s

Answer:

This is because, the flywheel has a very large moment of Inertia and hence sudden piston torques have negligible effect on the flywheel, but every piston combined has a significant torque. This smoothens out the vibrations.

Explanation:

Final answer:

A flywheel reduces engine vibrations by utilizing its angular momentum to smooth out the intermittent power delivery from piston firings, thus ensuring steady rotation of the crankshaft and maintaining engine speed during periods when power is not supplied.

Explanation:

The primary reason why a flywheel reduces engine vibrations in conventional piston engines is due to its ability to store rotational energy. When the pistons fire, they impart energy to the crankshaft, causing the engine to turn. This energy, however, is delivered in pulses rather than smoothly, which can lead to uneven rotation and vibrations. The flywheel, being a heavy rotating disk, has significant angular momentum. This momentum ensures that the flywheel continues to spin between these pulses of power, effectively smoothing out the rotation of the engine's crankshaft. This results in a reduction of the vibrations that occur due to the intermittent nature of power delivery from individual piston firings.

Flywheels also help maintain engine speed during the periods when no power is supplied, such as between combustion events in a four-stroke engine. This steady rotation is crucial for the engine's performance and longevity. Additionally, flywheels play a role in energy conservation, as they can store energy and release it when needed, which is particularly important in stopping and starting scenarios.

Answer:

The speed of each ball would be same at the instant each hits the ground.

Explanation:

From the principle of conservation of energy we know that

PE₁ + KE₁ = PE₂ + PE₂

where PE = mgh

The initial and final potential energies would be same for each ball since all the balls are thrown from the same height.

Now what about KE ?

We know that each ball is thrown with the same initial speed so their initial kinetic energies would be same and in turn their final kinetic energies must be same in order to satisfy th e conservation of energy principle. Therefore, we can conclude that the speed of each ball would be same at the instant they hit the ground. The initial angle of ball doesn't have any impact on the speed of the ball.

Answer:

(A). The rotational momentum of the flywheel is 12.96 kg m²/s.

(B). The rotational speed of sphere is 400 rad/s.

Explanation:

Given that,

Mass of disk = 10 kg

Radius = 9.0 cm

Rotational speed = 320 m/s

(A). We need to calculate the rotational momentum of the flywheel.

Using formula of momentum

[tex]L=I\omega[/tex]

[tex]L=\dfrac{1}{2}mr^2\omega[/tex]

Put the value into the formula

[tex]L=\dfrac{1}{2}\times10\times(9.0\times10^{-2})^2\times320[/tex]

[tex]L=12.96\ kg m^2/s[/tex]

(B). Rotation momentum of sphere is same rotational momentum of the  flywheel

We need to calculate the magnitude of the rotational speed of sphere

Using formula of rotational momentum

[tex]L_{sphere}=L_{flywheel}[/tex]

[tex]I\omega_{sphere}=I\omega_{flywheel}[/tex]

[tex]\omega_{sphere}=\dfrac{I\omega_{flywheel}}{I_{sphere}}[/tex]

[tex]\omega_{sphere}=\dfrac{I\omega_{flywheel}}{\dfrac{2}{5}mr^2}[/tex]

Put the value into the formula

[tex]\omega_{sphere}=\dfrac{12.96}{\dfrac{2}{5}\times10\times(9.0\times10^{-2})^2}[/tex]

[tex]\omega_{sphere}=400\ rad/s[/tex]

Hence, (A). The rotational momentum of the flywheel is 12.96 kg m²/s.

(B). The rotational speed of sphere is 400 rad/s.

To find the rotational momentum of a flywheel, one must calculate the moment of inertia and then use it to ascertain the angular momentum by multiplying the moment of inertia with the angular speed. L = Iw. To compare this with another rotating object, for example a sphere, one would then utilize their common momentum and calculate the necessary angular speed the sphere would need in order to match the flywheel's momentum.

Part A: To determine the rotational momentum of the flywheel, we first need to find its moment of inertia. For a disk, the moment of inertia (I) is given by I = 1/2 MR² where M is the mass and R is the radius. Substituting values, I becomes = 1/2 * 10 Kg * (0.09m)² = 0.0405 kg • m². The rotational momentum can then be found by multiplying moment of inertia by the rotational speed w. Therefore the rotational momentum (L) of the flywheel is L = Iw = 0.0405 kg • m² * 320 rad/s = 12.96 Kg • m²/s.

Part B: Let's now find the speed a spherical object needs to achieve the same momentum. The moment of inertia of a solid sphere is given by I=2/5 MR². The angular momentum L (which should be the same as the flywheel's) equals Iw, so we solve for w giving w = L/I = 12.96 kg•m²/s / (2/5*10 kg (0.09 m)²) = 180 rad/s. Thus, a 10-kg solid sphere of 9.0 cm radius would have to rotate at a speed of 180 rad/s to have the same rotational momentum as the flywheel.

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Answer:

A) V = 7.5 V

B) E = 75,000 V/m

C) Q = 16.6 pC

D) V = 7.5 V

E) E = 24,000 V/m

F) Q = 52 pC

Explanation:

Given:

- The Area of plate A = ( 5 x 5 ) mm^2

- The distance between plates d = 0.10 mm

- The thickness of Mylar added t = 0.10 mm

- Voltage supplied by battery V = 7.5 V

Solution:

A) What is the capacitor's potential difference before the Mylar is inserted?

- The potential difference across the two plates is equal to the voltage provided by the battery V = 7.5 V which remains constant throughout.

B) What is the capacitor's electric field before the Mylar is inserted?

- The Electric Field E between the capacitor plates is given by:

                                E = V / k*d

k = 1 (air)                  E = 7.5 / 0.10*10^-3

                                E = 75,000 V/m

C) What is the capacitor's charge Q before the Mylar is inserted?

                                C = k*A*ε / d

k = 1 (air)                   C = ( 0.005^2 * 8.85*10^-12 ) / 0.0001

                                C = 2.213 pF

                                Q = C*V

                                Q = 7.5*(2.213)

                                Q = 16.6 pC

D) What is the capacitor's potential difference after the Mylar is inserted?

- The potential difference across the two plates is equal to the voltage provided by the battery V = 7.5 V which remains constant throughout.

E) What is the capacitor's electric field after the Mylar is inserted?    

- The Electric Field E between the capacitor plates is given by:

                                E = V / k*d

k = 3.13                     E = 7.5 / (3.13)0.10*10^-3

                                E = 24,000 V/m              

F) What is the capacitor's charge after the Mylar is inserted?      

                                C = k*A*ε / d

k = 3.13                    C = 3.13*( 0.005^2 * 8.85*10^-12 ) / 0.0001

                                C = 6.927 pF

                                Q = C*V

                                Q = 7.5*(6.927)

                                Q = 52 pC                                      

Here, we are required to evaluate parameters relating to the capacitor.

Data:

A) The potential difference across the two plates is equal to the voltage provided by the battery prior to the insertion of the Mylar, V = 7.5 V which remains constant throughout.

The potential difference across the two plates is equal to the voltage provided by the battery prior to the insertion of the Mylar, V = 7.5 V which remains constant throughout.B) The capacitor's Electric Field E between the capacitor plates is given as:

C) The capacitor's charge Q before the Mylar is inserted can be evaluated as follows;

ε /d

ε /d C = (1×2.5×10^(-5)×8.85*10^-12)/0.0001

D) The potential difference across the two plates, after the mylar has been inserted, V = 7.5 V which remains constant throughout.

E) The Electric Field, E between the capacitor plates is given by:

where the dielectric constant of the mylar = 3.13

F) C = k×A×ε / d

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Explanation:

Below is an attachment containing the solution.

Answer:

Current = 8696 A

Fraction of power lost = [tex]\dfrac{80}{529}[/tex] = 0.151

Explanation:

Electric power is given by

[tex]P=IV[/tex]

where I is the current and V is the voltage.

[tex]I=\dfrac{P}{V}[/tex]

Using values from the question,

[tex]I=\dfrac{1000\times10^6 \text{ W}}{115\times10^3\text{ V}} = 8696 \text{ A}[/tex]

The power loss is given by

[tex]P_\text{loss} = I^2R[/tex]

where R is the resistance of the wire. From the question, the wire has a resistance of [tex]0.050\Omega[/tex] per km. Since resistance is proportional to length, the resistance of the wire is

[tex]R = 0.050\times40 = 2\Omega[/tex]

Hence,

[tex]P_\text{loss} = \left(\dfrac{200000}{23}\right)^2\times2[/tex]

The fraction lost = [tex]\dfrac{P_\text{loss}}{P}=\left(\dfrac{200000}{23}\right)^2\times2\div (1000\times10^6)=\dfrac{80}{529}=0.151[/tex]

Answer:40.19 N

Explanation:

Given

Force needed to hold the ball at [tex]\theta =4^{\circ}\ is\ F_1=20\ N[/tex]

From FBD we can write

[tex]F\cos \theta =mg\sin \theta [/tex]

[tex]\tan \theta =\dfrac{F}{mg}[/tex]

For [tex]\theta =4^{\circ}[/tex]

[tex]F_1=20\ N[/tex]

[tex]\tan (4)=\dfrac{20}{mg}----1[/tex]

for [tex]\theta =8^{\circ}[/tex]

Force is [tex]F_2[/tex]

[tex]\tan (8)=\dfrac{F_2}{mg}---2[/tex]

Divide 1 and 2 we get

[tex]\dfrac{\tan (4)}{\tan (8)}=\dfrac{F_1}{F_2}[/tex]

[tex]F_2=20\times \dfrac{\tan 8}{\tan 4}[/tex]

[tex]F_2=20\times 2.009[/tex]

[tex]F_2=40.19\ N[/tex]

Answer:

Force(F) = -80,955.01 N

Explanation:

We need to first determine the impulse that the truck driver received from the car during the collision

So; m₁v₁ - m₂v₂ = (m₁m₂)v₀

where;

m₁ = mass of the truck = 4280 kg

v₁ = v₂ =  speed of the each vehicle = 7.69 m/s

m₂ = mass of the car = 810 kg

Substituting our data; we have:

(4280×7.69) - (810×7.69) = (4280+810)v₀

32913.2 - 6228.9 = (5090)v₀

26684.1 =  (5090)v₀

v₀ = [tex]\frac{26684.1}{5090}[/tex]

v₀ = 5.25 m/s

NOW, Impulse on the truck = m (v₀ - v)

= 4280 × (5.25 - 7.69)

= 4280 ×  (-2.44)

= -10,443.2 kg. m/s

Force that the seat belt exert on the truck driver can be calculated as:

Impulse = Force × Time

-10,443.2 kg. m/s = F (0.129)

F = [tex]\frac{-10,443.2}{0.129}[/tex]

Force(F) = -80,955.01 N

Thus, the Force that the seat belt exert on the truck driver = -80,955.01 N

Final answer:

To calculate the final temperature after placing ice cubes into water, principles of thermodynamics are used, involving calculations for warming the ice, melting it, and adjusting the water temperature. The steps highlight the application of heat transfer and phase change concepts within a closed system.

Explanation:

The student's question involves the calculation of the final temperature of the water after two 20.0 g ice cubes at -20.0 °C are placed into 285 g of water at 25.0 °C. The principles of thermodynamics, specifically the concept of heat transfer and the conservation of energy, are essential to solving this problem. However, with the given information, an exact numerical solution cannot be provided without knowing the specific heats of ice and water, as well as the heat of fusion of ice. Generally, the solution involves several steps:

Calculate the amount of energy required to warm the ice from -20.0 °C to 0 °C using the specific heat of ice.

Calculate the energy needed to melt the ice into water at 0 °C using the enthalpy of fusion.

Calculate the energy released by the water as it cools down to the new equilibrium temperature.

Set the energy gained by the ice equal to the energy lost by the water to find the final temperature of the mixture.

Without the numerical values, the step-by-step method demonstrates how principles of heat transfer and phase change are applied to predict changes in temperature and state within a closed system.

Answer:

The four wavelengths of the problem are not given. Here they are:

a) [tex]Li^+,\lambda=671 nm[/tex]

b) [tex]Cs^+, \lambda=456 nm[/tex]

c) [tex]Ca^{2+}, \lambda=649 nm[/tex]

d) [tex]Na^+, \lambda=589 nm[/tex]

The relationship between wavelength and frequency of light wave is

[tex]f=\frac{c}{\lambda}[/tex]

where

f is the frequency

[tex]c=3.0\cdot 10^8 m/s[/tex] is the speed of light

[tex]\lambda[/tex] is the wavelength

For case a), [tex]\lambda=671 nm = 6.71\cdot 10^{-7}m[/tex] (corresponds to red color), so its frequency is

[tex]f=\frac{3\cdot 10^8}{6.71\cdot 10^{-7}}=4.47\cdot 10^{14}Hz[/tex]

For case b), [tex]\lambda=456 nm = 4.56\cdot 10^{-7}m[/tex] (corresponds to blue color), so its frequency is

[tex]f=\frac{3\cdot 10^8}{4.56\cdot 10^{-7}}=6.58\cdot 10^{14}Hz[/tex]

For case c), [tex]\lambda=649 nm = 6.49\cdot 10^{-7}m[/tex] (corresponds to red color), so its frequency is

[tex]f=\frac{3\cdot 10^8}{6.49\cdot 10^{-7}}=4.62\cdot 10^{14}Hz[/tex]

For case d), [tex]\lambda=589 nm = 5.89\cdot 10^{-7}m[/tex] (corresponds to yellow color), so its frequency is

[tex]f=\frac{3\cdot 10^8}{5.89\cdot 10^{-7}}=5.09\cdot 10^{14}Hz[/tex]

In fireworks displays, the color of light is determined by its wavelength and frequency. The color red has the longest wavelength and the lowest frequency, while the color violet has the shortest wavelength and the highest frequency. Therefore, the order of the given colors from shortest wavelength to longest wavelength is blue, yellow, and red. Similarly, the order of the given colors from lowest frequency to highest frequency is also blue, yellow, and red.

The colors of light in a fireworks display indicate the presence of different elements. The wavelength and frequency of the light determines its color. Within the visible range, our eyes perceive radiation of different wavelengths as light of different colors. The color red corresponds to the longest wavelength and the lowest frequency, while the color violet corresponds to the shortest wavelength and the highest frequency. Therefore, the order of the given colors from shortest wavelength to longest wavelength would be blue, yellow, and red. Similarly, the order of the given colors from lowest frequency to highest frequency would also be blue, yellow, and red.

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Answer:

True

Explanation:

The number density of an ideal gas at stp is called the loschmidt number, being named after the Austrian physicist Johann Josef Loschmidt who first estimated this quantity in 1865

n = [tex]\frac{P}{K_{B}T }[/tex]

where [tex]K_{B}[/tex] is the Boltzman constant

T is the temperature

P is the pressure

Loschmidt Number is the number of molecules of gas present in one cubic centimetre of it at STP conditions.Loschmidt constant is also used to define the amagat, which is a practical unit of number density for gases and other substances:

   1 amagat = n = 2.6867811×1025 m−3,

Answer:

True.

Explanation:

The Loschmidt number, n is defined as the number of particles (atoms or molecules) of an ideal gas in a given volume (the number density).

It is also the number of molecules in one cubic centimeter of an ideal gas at standard temperature and pressure which is equal to 2.687 × 10^19.

Yo sup??

a double bond has

1 Sigma bond

1 pi bond

and in total 2 bonds

Hope this helps

Final answer:

In a double bond, there is one sigma bond, which allows for free rotation, and one pi bond, which restricts rotation due to side-to-side overlap of orbitals.

Explanation:

In a double bond, there is always one sigma bond (sigma bond) and one pi bond (pi bond). The sigma bond is formed by the head-on overlap of orbitals, such as those that occur between s-s orbitals, s-p orbitals, or p-p orbitals. This type of bond allows for the free rotation of atoms around the bond axis. On the other hand, a pi bond arises from the side-to-side overlap of p-orbitals, creating electron density above and below the plane of the nuclei of the bonding atoms. This pi bond restricts the rotation of atoms around the bond axis due to the electron cloud above and below the bond plane.

Answer:

Explanation:

Their explanation is: We first need to determine the velocity of the water that comes out of the hole, using Bernoulli's equation.

P1+ρgy1 + ½ρv1² = P2+ρgy2+½ρv2²

The atmospheric pressure exerted on the surface of the water at the top of the tank and at the hole are essentially the same.

Then, P1-P2 = 0

. Additionally, since the opening at the top of the tank is so large compared to the hole on the side, the velocity of water at the top of the tank will be essentially zero. We can also set y1 as zero, simplifying the equation to:

0 = ρgy2 + ½ρv2²

Divide through by density

-gy2 = ½ v2²

y2= 5m and g =-9.81

-•-9.81×5 = ½v2²

9.81×5×2 = v2²

98.1 = v2²

v2 = √98.1

v2 = 9.9m/s

Using equation of motion to know the time of fall

We assume that the initial vertical velocity of the water is zero and the displacement of the water is -20 m

y-yo = ut + ½gt²

0-20 = 0•t -½ ×9.81 t²

-20 = -4.905t²

t² = -20÷-4.905

t² = 4.07747

t =√4.07747

t = 2.02secs

Using range formula

Then, R=Voxt

R= 9.9 × 2.02

R =19.99m

R ≈20m

Answer:

The distance from the base of the tank to the ground is 20 m

Explanation:

From Bernoulli equation where P is pressure, V is velocity, ρ is density, g is acceleration due to gravity and y is the height

P₁ + 1/2ρV₁² + ρgy₁ = P₂ + 1/2ρV₂² + ρgy₂

The pressure on the surface of the water on the top of the tank and that in the hole is the same (P₁ = P₂). Since the opening at the top of the tank is large compared to the hole at the side of the tank, the velocity at the top of the tank is 0 and y₁ is 0

Therefore: 0 =  1/2ρV₂² + ρgy₂

1/2ρV₂² = -ρgy₂      g = -10 m/s²

-10(5) = -1/2V₂²

V₂ = 10 m/s

The time it would take the water to fall on the ground is given as:

d = ut + 1/2gt²

u is the initial velocity = 0 , g = -10 m/s² and the displacement (d) = - 20 m

Therefore: -20 = 1/2(10)t²

t = 2 sec

The horizontal displacement (d) can be gotten from

d = V₂t

d = 10(2) = 20 m

The distance from the base of the tank to the ground is 20 m

The forces doing non-zero work as the block slides down a frictionless ramp are gravity and any applied forces. The work done can be calculated using the mass, gravitational acceleration, and height. For the pushed block, the initial kinetic energy is combined with gravitational work to predict the final speed.

The forces that do non-zero work on a block as it slides down a frictionless ramp include gravity and any applied forces (like a push or a pull), but not the normal force or friction since the ramp is frictionless. Gravity does positive work as it pulls the block down the plane, increasing its kinetic energy. To calculate the total work done on the 1.85 kg wooden block after sliding down a distance of 1.85 m on the ramp at a 59.3° angle, you can use the formula:

To predict the speed of the block after sliding down, you can use the conservation of energy principle or kinematic equations that relate distance, acceleration, and velocity. For the scenario where the block is given an initial push, the final speed can be predicted using the same principles by accounting for the initial kinetic energy provided by the push.

Here's an example of calculating work done:

The ranking from least to greatest kinetic energy is: Set 3 < Set 1 < Set 5 < Set 2, Set 4.

To rank the sets of oranges and cantaloupes based on their kinetic energy, from the formula for kinetic energy:

Kinetic Energy (KE) = 0.5 × mass × speed²

Calculate the kinetic energy for each set and then rank them from least to greatest kinetic energy:

Set 1: KE = 0.5 × m × v²

Set 2: KE = 0.5 ×  4m ×  v² = 2 ×  0.5 ×  m ×  v² (Same as Set 1)

Set 3: KE = 0.5 ×  2m ×  (1/4v)² = 0.125 ×  ×  v² (Less than Set 1)

Set 4: KE = 0.5 ×  4m ×  v² = 2 ×  0.5 ×  m ×  v² (Same as Set 1 and 2)

Set 5: KE = 0.5 ×  4m ×  (1/2v)² = 1 ×  0.5 × m ×  v² (Same as Set 1, 2, and 4)

Ranking from least kinetic energy to greatest kinetic energy:

Set 3 (total mass: 2m, speed: 1/4v)

Set 1 (mass: m, speed: v)

Set 5 (total mass: 4m, speed: 1/2v)

Sets 2 and 4 (mass: 4m, speed: v)

Hence, the ranking from least to greatest kinetic energy is: Set 3 < Set 1 < Set 5 < Set 2, Set 4.

To learn more about Kinetic energy, here:

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The kinetic energy of an object is dependent on both its mass and speed. The ranking of the sets of oranges and cantaloupes, based on their kinetic energy (from least to greatest), is: KE3, KE5, KE1 = KE4, KE2. These rankings are calculated by substituting the values of mass and speed provided into the formula for kinetic energy.

The kinetic energy of an object can be defined as the energy which it possesses due to its motion. It is dependent on both its mass and speed, as outlined by the formula KE = 1/2mv². Where KE is the kinetic energy, m is the mass of the object, and v is the velocity (or speed).

Considering the information provided on the sets of oranges and cantaloupes:

Ranking them according to their kinetic energy, from least to greatest, gives us: KE3, KE5, KE1 = KE4, KE2.

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Answer:

The final temperature when the lead and water reach thermal equilibrium is [tex]23.14^{o} C[/tex]

Explanation:

Using the law of conservation of energy the heat lost by the lead ball is gained by the water.

[tex]-q_{L} =+q_{w}[/tex] .............................1

where

[tex]q_{L}[/tex] is the heat energy of the lead ball;

[tex]q_{w}[/tex] is the heat energy of water;

but q = msΔ

T...............................2

substituting expression in equation 2 into the equation 1;

Δ

T =Δ

T .............................3

where [tex]m_{L}[/tex] is the mass of the lead ball = 5.2 g

[tex]s_{L}[/tex] is the specific heat capacity of the lead ball = 0.128 Joules/g-deg

[tex]m_{w}[/tex] is the mass of water = volume x density = 34.5 ml x 1 g/ml = 34.5 g

[tex]s_{w}[/tex] is the specific heat capacity of water = 4.184 J/g-deg

Δ

T is the temperature changes encountered by the lead ball and water   respectively

inputting the values of the parameters into equation 3

5.2 g x 0.128 Joules/g-deg x (183-22.4) = 34.5 g x 4.184 J/g-deg x ([tex]T_{2}[/tex] -22.4)

[tex]T_{2}[/tex] -22.4 = [tex]\frac{106.9}{144.3}[/tex]

[tex]T_{2}[/tex] -22.4 = 0.7408

[tex]T_{2}[/tex] = [tex]23.14^{o} C[/tex]

Therefore the final temperature  when the lead and water reach thermal equilibrium is [tex]23.14^{o} C[/tex]

Answer:

neurotransmitters

Explanation:

Neurotransmitters are endogenous chemicals that enable neurotransmission. It is a type of chemical messenger which transmits signals across a chemical synapse, such as a neuromuscular junction, from one neuron (nerve cell) to another "target" neuron, muscle cell, or gland cell.

Answer:

[tex]\Delta V=\Delta V_1+\Delta V_2+\Delta V_3[/tex]

Explanation:

We are given that three resistors R1, R2 and R3 are connected in series.

Let

Potential difference across [tex]R_1=\Delta V_1[/tex]

Potential difference across [tex]R_2=\Delta V_2[/tex]

Potential difference across [tex]R_3=\Delta V_3[/tex]

We know that in series  combination

Potential difference ,[tex]V=V_1+V_2+V_3[/tex]

Using the formula

[tex]\Delta V=\Delta V_1+\Delta V_2+\Delta V_3[/tex]

Hence, this is required expression for potential difference.

The student's question involves calculating the maximum speed a car can take a banked curve without sliding, using physic principles of circular motion and the coefficient of static friction.

The student's question revolves around determining the maximum speed at which a 1400 kg car can navigate a banked highway curve without sliding, given a static coefficient of friction between rubber and concrete. To solve this, we need to use principles of circular motion and friction.

To find the maximum speed (v), we can use the following equation that balances gravitational, frictional, and centripetal forces:

F_{friction} = μ_s × N

N = m × g × cos(θ)

F_{centripetal} = m × v^2 / r

Where μ_s is the static coefficient of friction (1.0), N is the normal force, m is the mass of the car (1400 kg), g is the acceleration due to gravity (9.8 m/s^2), θ is the banking angle (19.0 degrees), v is the maximum speed, and r is the radius of the curve (60.0 m). The forces due to friction and centripetal need to equal for the car to navigate the curve without sliding.

After applying trigonometry and mechanics principles, we can solve for v which gives us the maximum speed without sliding.

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Answer

given,

R₁= 4 Ω

R₂ = 3 Ω

When two resistors are connected in series

R = R₁ + R₂

R = 4 + 3

R = 7 Ω

When two resistors are connected in series then their effective resistance is equal to 7 Ω .

When two resistors are connected in parallel.

[tex]\dfrac{1}{R}=\dfrac{1}{R_1}+\dfrac{1}{R_2}[/tex]

[tex]\dfrac{1}{R}=\dfrac{1}{3}+\dfrac{1}{4}[/tex]

[tex]\dfrac{1}{R}=\dfrac{7}{12}[/tex]

[tex]R = 1.714 \Omega[/tex]

Hence, the equivanet resistance in parallel is equal to [tex]R = 1.714 \Omega[/tex]

Answer:

5.0 Ω

Explanation:

[tex]R_{1}[/tex] = 4.0 Ω,     [tex]R_{2}[/tex] = 4.0 Ω,     [tex]R_{3}[/tex] = 3.0 Ω

[tex]\frac{1}{R_{parallel}} = \frac{1}{R_{1}} + \frac{1}{R_{2}} \\\frac{1}{R_{parallel}} = \frac{1}{4.0} + \frac{1}{4.0}\\\frac{1}{R_{parallel}} = \frac{2}{4.0}\\\frac{1}{R_{parallel}} = 0.5\\R_{parallel} = (0.5)^{-1} \\R_{parallel} = 2.0[/tex]

[tex]R_{T} = R_{parallel} + R_{3} \\R_{T} = 2.0 + 3.0\\R_{T} = 5.0[/tex]

Therefore, the effective resistance of this combination is 5.0 Ω.

Answer:

No change in velocity of photons...

Explanation:

The reason speed of light is constant is that is doesn't depend upon intensity of light as produced by the source. This is the main reason why the wave function (psi)* in Einstein's Photoelectric experiment remains unaffected by intensity. The monochromatic beam of light will glow lower and lower as the power decreases and eventually vanishes from visible range as the emission from the power source has been stopped...

Answer:

Explanation:

mass of ice skater, m = 55 kg

velocity, v = 4.07 m/s

radius, r = 0.808 m

The force is centripetal force, the formula for this force is

[tex]F_{c}=\frac{mv^{2}}{r}[/tex]

[tex]F_{c}=\frac{55\times 4.07\times 4.07}{0.808}[/tex]

Fc = 1127.56 N

Weight of the person, W = mg

W = 55 x 9.8 = 539 N

The ratio of force to he weight

[tex]\frac{F_{c}}{W}=\frac{1127.56}{539}[/tex]= 2.09

Answer:

The correct answer is

1. the boy 2.

Explanation:

Since Tangential acceleration = v²/r  then the

v = ωr and v² =  ω²r² then the tangential acceleration = ω²r²/r = ω²r

This shows that  since ω is the same for both of them, the boy with greater r has the most acceleration.

The tangential acceleration [tex]a_t =[/tex] α·r

Answer:

[tex]\mu_s \geq 0.27[/tex]

Explanation:

The centripetal force acting on the car must be equal to mv²/R, where m is the mass of the car, v its speed and R the radius of the curve. Since the only force acting on the car that is in the direction of the center of the circle is the frictional force, we have by the Newton's Second Law:

[tex]f_s=\frac{mv^{2}}{R}[/tex]

But we know that:

[tex]f_s\leq \mu_s N[/tex]

And the normal force is given by the sum of the forces in the vertical direction:

[tex]N-mg=0 \implies N=mg[/tex]

Finally, we have:

[tex]f_s=\frac{mv^{2}}{R} \leq \mu_s mg\\\\\implies \mu_s\geq \frac{v^{2}}{gR} \\\\\mu_s\geq \frac{(6\frac{m}{s}) ^{2}}{(9.8\frac{m}{s^{2}})(13.5m) }\\\\\mu_s\geq0.27[/tex]

So, the minimum value for the coefficient of friction is 0.27.