Knowing how to graph motion helps in understanding kinematics properties by deriving motion characteristics from the graph, visualizing equations in a comprehendible form, and revealing underlying relationships between physical quantities.
Explanation:Knowing how to graph movement can be practically beneficial for several reasons, these include:
Deriving motion characteristics: By graphing displacement versus time, velocity versus time, and acceleration versus time, you can derive specific and general characteristics of kinematics. For example, the slope of a displacement versus time graph is velocity whereas the slope of a velocity versus time graph represents acceleration. Visualizing Equations: Graphs are an excellent tool to visualize and understand equations. Rather than dealing with complex mathematical expressions, you can express the same information visually through graphs and get a better comprehension of the phenomena. Understanding Underlying Relationships: Graphs do not only present numerical information but also reveal the relationship between different quantities. Hence, they offer a way to interpret and understand the physics underlying the motion. Learn more about Graphing Motion here:
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A regulation NBA basketball court is 94 feet long. If Wale runs the length of the court (from left to right) in 5 seconds, what is his velocity?
The igneous feature shown in this photograph is:
1. How does boiling differ from evaporation?
Boiling can take place at any temperature, while evaporation takes place at a specific temperature.
Boiling is a change from a liquid to a gas, while evaporation is a change from a gas to a liquid.
Boiling takes place throughout a liquid, while evaporation takes place at the surface.
2.
In which states of matter can materials take the shape of their containers?
solid and liquid
solid and gas
liquid and gas
3.
Which is true according to the kinetic theory?
All particles of matter move very quickly.
The particles that make up gases are densely packed.
The particles that make up solids do not move.
All particles of matter are in constant motion.
4.
A graph shows how the temperature of a substance changes as energy is added steadily over time. Which part of the graph would indicate a phase change is taking place?
a steep, downward sloping line
a steep, upward sloping line
a flat, horizontal line
5.
Which statement describes the kinetic energy of a particle?
It is attracted to particles of the opposite charge.
It is much larger than particles of another substance.
It moves quickly after a collision with another particle.
6.
Which model best describes the particles of a solid and their motion?
beads moving around in a rattle
bricks cemented together in a wall
students walking through a crowded hall
people seated in an auditorium
7.
Which word expression describes how to calculate pressure?
force multiplied by area
force divided by area
area divided by force
area minus force
8.
Which is the phase change in which a substance changes from a gas to liquid?
condensation
vaporization
boiling
evaporation
9.
What does a graph representing Charles’s law show?
Volume decreases as pressure increases.
Volume decreases as temperature increases.
Volume increases at the same rate as temperature.
Volume increases at the same rate as pressure.
10.
According to Boyle’s law, the volume of a gas is inversely proportional to its pressure if the _____.
number of particles and temperature decreases
number of particles and temperature increases
temperature and number of particles are constant
temperature reaches absolute zero
11.
When does raising the temperature of a gas increase its pressure?
when volume is increased and the number of particles is constant
when volume and the number of particles are constant
when volume is increased and the number of particles is increased
12.
Which of these phase changes does not involve changing a liquid into a gas?
sublimation
evaporation
vaporization
Is the 3 in the molecule a coefficient, subscript, or element? 3H₂O₂
What is the strength and direction of the electric field 3.560 cm?
A 5.22-kg object passes through the origin at time t = 0 such that its x component of velocity is 5.10 m/s and its y component of velocity is -2.82 m/s. (a) what is the kinetic energy of the object at this time?
The kinetic energy of the object at t = 0 is approximately 66.27 Joules.
Explanation:To calculate the kinetic energy of the object, we can use the equation: KE = 0.5 * m * v^2. Given the mass of the object is 5.22 kg and the x-component of velocity is 5.10 m/s, we can substitute these values into the equation:
KE = 0.5 * 5.22 kg * (5.10 m/s)^2
Calculating this gives us a kinetic energy of approximately 66.27 Joules.
A 500 lb steel beam is lifted up by a crane to a height of 100 ft and is held there.
A) How much work is being done to hold the beam in place?
B) How much work was done to lift the beam?
C) How much work would it take if the steel beam were raised from 100 ft to 200ft?
A. How much work is being done to hold the beam in place?
Work is the product of Force and Displacement. Since there is no Displacement involved in just holding the beam in place, hence the work is zero.
B. How much work was done to lift the beam?
In this case, force is simply equal to weight or mass times gravity. Hence the work is:
Work = weight * displacement
Work = 500 lbf * 100 ft
Work = 50,000 lbf * ft
C. How much work would it take if the steel beam were raised from 100 ft to 200ft?
The displacement is still 100 ft since 200 – 100 = 100 ft, hence the work done is still similar in B which is:
Work = 50,000 lbf * ft
Microwave ovens emit microwave energy with a wavelength of 12.4 cm. what is the energy of exactly one photon of this microwave radiation?
The energy of the photon emitted is about 1.60 × 10⁻²⁴ Joule
Further explanationThe term of package of electromagnetic wave radiation energy was first introduced by Max Planck. He termed it with photons with the magnitude is :
[tex]\large {\boxed {E = h \times f}}[/tex]
E = Energi of A Photon ( Joule )
h = Planck's Constant ( 6.63 × 10⁻³⁴ Js )
f = Frequency of Eletromagnetic Wave ( Hz )
The photoelectric effect is an effect in which electrons are released from the metal surface when illuminated by electromagnetic waves with large enough of radiation energy.
[tex]\large {\boxed {E = \frac{1}{2}mv^2 + \Phi}}[/tex]
[tex]\large {\boxed {E = qV + \Phi}}[/tex]
E = Energi of A Photon ( Joule )
m = Mass of an Electron ( kg )
v = Electron Release Speed ( m/s )
Ф = Work Function of Metal ( Joule )
q = Charge of an Electron ( Coulomb )
V = Stopping Potential ( Volt )
Let us now tackle the problem !
Given:
λ = 12.4 cm = 12.4 × 10⁻² m
h = 6.63 × 10⁻³⁴ Js
c = 3 × 10⁸ m/s
Unknown:
E = ?
Solution:
[tex]E = h \times \frac{c}{\lambda}[/tex]
[tex]E = 6.63 \times 10^{-34} \times \frac{3 \times 10^8}{12.4 \times 10^{-2}}[/tex]
[tex]E \approx 1.60 \times 10^{-24} ~ Joule[/tex]
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Subject: Physics
Chapter: Quantum Physics
Keywords: Quantum , Physics , Photoelectric , Effect , Threshold , Wavelength , Stopping , Potential , Copper , Surface , Ultraviolet , Light
What current would it need to carry in order to experience a very modest 1.0×10−3n⋅m torque?
The current required in the loop to experience the given torque is [tex]\boxed{6.366\times{{10}^2}\,{\text{A}}}[/tex] or [tex]\boxed{636.6\,{\text{A}}}[/tex] .
Further Explanation:
Given:
The diameter of the circular loop is [tex]20\,{\text{cm}}[/tex] .
The torque experienced by the circular loop is [tex]1.0\times{10^{-3}}\,{\text{N}}\cdot{\text{m}}[/tex] .
Concept:
Since the circular loop is kept in the effect of the Earth’s Magnetic field, it will experience a magnetic torque due to the magnetic lines of force passing through the area of cross-section of the loop.
The torque experienced by the loop is expressed as:
[tex]\boxed{\tau =BIA}[/tex]
Here, [tex]\tau[/tex] is the torque experienced, [tex]B[/tex] is the magnetic field, [tex]I[/tex] is the current in the loop and [tex]A[/tex] is the area of cross-section of the loop.
The strength of the Earth’s magnetic field is [tex]5\times{10^{-5}}\,{\text{T}}[/tex] .
Substitute the values in the above expression.
[tex]\begin{aligned}1.0\times{10^{-3}}&=\left({5\times{{10}^{-5}}}\right)\timesI\times\left({\pi \times{{\left({\frac{d}{2}}\right)}^2}}\right)\\I&=\frac{{1.0\times{{10}^{-3}}}}{{5\times{{10}^{-5}}\left({\pi {{\left({\frac{{0.20}}{2}}\right)}^2}}\right)}}\\&=6.366\times{10^2}\,{\text{A}}\\\end{aligned}[/tex]
The current required in the loop to experience the given torque is [tex]\boxed{6.366\times{{10}^2}\,{\text{A}}}[/tex] or [tex]\boxed{636.6\,{\text{A}}}[/tex] .
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Answer Details:
Grade: College
Subject: Physics
Chapter: Electromagnetism
Keywords:
Earth’s magnetic field, torque, maximum torque, maximum current, through the loop, experience a modest torque, T=BIA, 636 A, wire is oriented.
Part a consider a bird that flies at an average speed of 10.7 m/s and releases energy from its body fat reserves at an average rate of 3.70 w (this rate represents the power consumption of the bird). assume that the bird consumes 4.00g of fat to fly over a distance db without stopping for feeding. how far will the bird fly before feeding again?
Which of the following is an example of velocity?
A. 25 east
B. 50 mph east
C. 100 mph
D. 100 miles east
50 mph east,because Velocity is a physical vector quantity both magnitude and direction are needed to define it.
What is velocity?
When an item is moving, its velocity is the rate at which its direction is changing as seen from a certain point of view and as measured by a specific unit of time.
Uniform motion an object is said to have uniform motion when object cover equal distance in equal interval of time within exact fixed direction. For a body in uniform motion, the magnitude of its velocity remains constant over time.
50 mph east,because Velocity is a physical vector quantity both magnitude and direction are needed to define it.
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A toy projectile is fired from the ground vertically upward with an initial velocity of 26.5 m/s. The project arrives at its maximum altitude in 2.7s.
What is the velocity of the projectile when it hits the ground? How?
A horizontal pipe of diameter 0.985 m has a smooth constriction to a section of diameter 0.591 m . the density of oil flowing in the pipe is 821 kg/m3 . if the pressure in the pipe is 8100 n/m2 and in the constricted section is 6075 n/m2 , what is the rate at which oil is flowing
To find the rate at which oil is flowing through a constricted pipe with different diameters and pressures, apply the principle of continuity.
A horizontal pipe of diameter 0.985 m has a smooth constriction to a section of diameter 0.591 m. The pressure in the pipe is 8100 N/m2, and in the constricted section, it is 6075 N/m2. The density of oil flowing in the pipe is 821 kg/m3.
To find the rate at which oil is flowing, we can apply the principle of continuity, which states that the product of the cross-sectional area and the fluid velocity is constant in a pipe with steady flow.
By applying the principle of continuity, you can calculate the rate at which oil is flowing through the pipe.
A day on a distant planet observed orbiting a nearby star is 21.5 hours. also, a year on the planet lasts 59.1 earth days.* calculate the average angular speed of the planet about its own axis of rotation in radians per second, with the second as measured on earth.
The average angular speed can be calculated by dividing the total rotation of the planet (2π radians) by the time taken for one rotation (converted to seconds). This gives an average angular speed of approximately 8.11x10-5 radians per second.
Explanation:The first step in tackling this problem is understanding what angular speed is. Angular speed is the rate at which an object moves through an angle. It is measured in radians per second. In your case, you want to find the angular speed of the planet about its own axis of rotation.
To do this, we need to recall that one complete rotation is 2π radians. Since one day on this distant planet lasts 21.5 hours, we convert this to seconds (1 hour = 60 minutes = 3600 seconds). So, 21.5 hours is 21.5 x 3600 = 77400 seconds.
The angular speed (ω) is therefore calculated by dividing the total rotation (2π radians) by the time (t) taken for one rotation. That is ω = 2π/t. Substituting for t in this formula, we get ω = 2π/77400 = 8.11x10-5 radians per second. Note that this answer is an approximation, and actual planetary motion can be influenced by a number of factors.
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Here is a 95% confidence interval estimate of the proportion of all jobs applicants who test positive when they are tested for drug use: 0.0262 < p < 0.0499 (based on data from quest diagnostics). which of the statements correctly interprets this confidence interval?
A balloon is inflated from 0.0100 l to 0.500 l against an external pressure of 10.00 atm. how much work is done in joules? 101.3 j = 1 l atm
Answer:
-496.37 J
Explanation:
P(V2-V1) = 10(.5-.01)
10(.49) =4.9
L x ATM = 4.9 x 101.3= 496.37 J
External pressure means negative therefore its -496.37J
The work done in this scenario can be calculated by multiplying the change in volume, external pressure, and a conversion factor. In this case, the work done is 494.9 J.
Explanation:The work done in this scenario can be calculated using the formula:
Work = change in volume * external pressure * conversion factor
Given:
Initial volume (V1) = 0.0100 l
Final volume (V2) = 0.500 l
External pressure = 10.00 atm
First, we need to find the change in volume:
Change in volume = V2 - V1 = 0.500 l - 0.0100 l = 0.490 l
Next, we can calculate the work done:
Work = change in volume * external pressure * conversion factor
= 0.490 l * 10.00 atm * 101.3 J/l atm
= 494.9 J
Therefore, the work done in joules is 494.9 J.
on a very muddy football field, a 120 kg linebacker tackles an 75 kg halfback. immediately before the collision, the linebacker is slipping with a velocity of 8.6 m/s north and the halfback is sliding with a velocity of 7.4 m/s east.
The question is about the conservation of momentum. By calculating each player's momentum before the collision and combining them, we find the resultant momentum. The velocity after the collision can then be found.
Explanation:This is an example of conservation of momentum, a fundamental concept in physics. Whenever objects interact and there is no external force, the total momentum of the system of objects is conserved.
In the scenario given, the linebacker and the halfback can be regarded as a closed system because the only significant forces are their mutual ones. Before the collision, we can calculate the momentum for each player: the linebacker's momentum is mass x velocity = 120 kg x 8.6 m/s = 1032 kg.m/s (north), and the halfback's momentum is 75 kg x 7.4 m/s = 555 kg.m/s (east).
Using the law of vector addition, we can combine them to find the resultant momentum. We then divide the resultant momentum by the total mass (120 kg + 75 kg) to find the velocity of the resulting 'player blob' immediately after the collision.
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When temperature increases, all BUT ONE of the following increases as well. That is A) wavelength. B) heat energy. C) kinetic energy. D) molecular motion.
Answer: A. Wavelength
Explanation: USAtestprep
A head-on, elastic collision between two particles with equal initial speed v leaves the more massive particle (mass m1) at rest. find the ratio of the particle masses
The ratio of the particle masses is \boxed{\frac{1}{3}} or \boxed3 .
Further explain:
We have to calculate the ratio of the particle masses.
As we know, in the elastic collision between two masses the momentum and the energy both are conserved.
Here, the collision between the masses the head-on it means head to head.
For head on head collision the masses will travel parallel but opposite in the direction.
We have two masses one is heavier and another is lighter.
The mass of massive or heavier particle is [tex]{m_1}[/tex].
The mass of the lighter particle is [tex]{m_2}[/tex].
From the conservation of linear momentum total initial momentum is equal to the total final momentum.
Therefore,
[tex]\boxed{\left( {{m_1}v - {m_2}v} \right) = \left( {{m_1}{v_1} + {m_2}{v_2}} \right)}[/tex]
Here, after the collision the massive particle comes into rest.
So, final expression will be,
[tex]\left( {{m_1}-{m_2}}\right)v={m_2}{v_2}[/tex] …… (1)
From the conservation of the energy,
Total kinetic energy before collision is equal to the total kinetic energy after collision.
Therefore,
[tex]\begin{aligned}\frac{1}{2}{m_1}{v^2}+\frac{1}{2}{m_2}{v^2}&=\frac{1}{2}{m_2}{\left( {{v_2}} \right)^2}\\{m_1}{v^2}+{m_2}{v^2}&={m_2}{\left( {{v_2}}\right)^2}\\\left( {{m_1}+{m_2}}\right){v^2}&={m_2}{\left( {{v_2}}\right)^2}\\\end{aligned}[/tex]
Simplify the above equation,
[tex]\begin{aligned}{m_2}{\left( {{v_2}} \right)^2}&=\frac{{\left( {{m_1}+{m_2}} \right){v^2}}}{{{m_2}}}\\{v_2}&=\left( {\sqrt {\frac{{\left( {{m_1}+{m_2}} \right)}}{{{m_2}}}} }\right)v\\\end{aligned}[/tex]
Substitute the value of [tex]{v_2}[/tex] in equation (1).
[tex]\begin{aligned}\left( {{m_1} - {m_2}} \right)v&={m_2}\left( {\sqrt {\frac{{\left( {{m_1} + {m_2}}\right)}}{{{m_2}}}} } \right)v \\\left( {{m_1} - {m_2}} \right)&=\sqrt {{m_2}\left( {{m_1} + {m_2}}\right)}\\{m_2}\left( {\frac{{{m_1}}}{{{m_2}}} - 1}\right)&={m_2}\sqrt {\left( {\frac{{{m_1}}}{{{m_2}}} + 1} \right)}\\\left( {\frac{{{m_1}}}{{{m_2}}}-1}\right)&=\sqrt {\left( {\frac{{{m_1}}}{{{m_2}}}+ 1}\right)}\\\end{aligned}[/tex]
Substitute [tex]x[/tex] for[tex]\dfrac{{{m_1}}}{{{m_2}}}[/tex] in above equation.
[tex]\left( {x - 1} \right)=\sqrt {\left( {x + 1} \right)}[/tex]
Squaring both the sides in above equation,
[tex]\begin{aligned}{\left( {x - 1} \right)^2}&=\left( {x + 1}\right)\\{x^2} - 2x + 1&=x + 1\\{x^2}-3x&=0\\\end{aligned}[/tex]
Taking [tex]x[/tex] as a common in the above equation.
[tex]x\left( {x - 3} \right)=0[/tex]
On solving above equation
We get,
[tex]x = 3[/tex]
Replace the value of [tex]x[/tex]
[tex]\boxed{\frac{{{m_1}}}{{{m_2}}} = 3}[/tex]
Or,
[tex]\boxed{\frac{{{m_2}}}{{{m_1}}} = \frac{1}{3}}[/tex]
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Answer details:
Grade: Senior School
Subject: Physics
Chapter: Impulse and Momentum
Keywords:
Head on collision, two particles, equal speed, ratio of particle masses, momentum, conservation of momentum, energy, conservation of energy, masses, ratio.
A street light is on top of a 12 foot pole. a person who is 5 feet tall walks away from the pole at a rate of 4 feet per second. at what speed is the length of the person's shadow growing
Final answer:
The rate at which the length of the person's shadow is growing is \(\frac{{48}}{{5}}\) feet per second.
Explanation:
In this problem, we can use similar triangles to determine the rate at which the length of the person's shadow is growing. Let's consider the situation at a particular moment when the person is a certain distance away from the pole. At this moment, the length of the person's shadow is the distance from the pole to the person multiplied by the ratio of the height of the pole to the height of the person. Let's call this length S. The rate of change of S, which represents the speed at which the length of the person's shadow is growing, can be determined using derivatives. To find this rate, we need to differentiate the expression for S with respect to time (t), since the person is moving and therefore the distance from the pole is changing over time.
The length of the person's shadow (S) can be expressed as:
S = \(\frac{{12}}{{5}}x\)
where x is the distance from the pole to the person at a particular moment.
To find the rate of change of S with respect to time (\(\frac{{dS}}{{dt}}\)), we differentiate the expression for S:
\(\frac{{dS}}{{dt}} = \frac{{12}}{{5}}\frac{{dx}}{{dt}}\)
Since the person is moving away from the pole at a rate of 4 feet per second, \(\frac{{dx}}{{dt}} = 4\). Plugging this value into the equation, we can calculate the rate at which the length of the person's shadow is growing:
\(\frac{{dS}}{{dt}} = \frac{{12}}{{5}} \cdot 4 = \frac{{48}}{{5}}\) feet per second
By using similar triangles and differentiating with respect to time, we find that the length of the person's shadow is growing at a rate of approximately 2.86 feet per second.
The question involves calculating the rate at which the length of a person's shadow grows as they walk away from a street light. To start, we can use similar triangles to relate the heights and shadows of the pole and the person. Given:
Height of the pole (H1) = 12 feetHeight of the person (H2) = 5 feetPerson's walking speed = 4 feet/secondLet the distance of the person from the pole be x, and the length of the shadow be s. By similar triangles, we have:
(Height of the pole)/(Total distance from the pole to the tip of the shadow) = (Height of the person)/(Length of the shadow)
This converts to:
12/(x + s) = 5/s
Cross multiplying gives us:
12s = 5(x + s)
Which simplifies to:
12s = 5x + 5s
Rearranging terms gives us:
7s = 5x
So, s = (5/7)x
Next, we differentiate both sides of this equation with respect to time (t), noting that both s and x are functions of time:
ds/dt = (5/7)dx/dt
Given that the rate at which the person walks (dx/dt) is 4 feet per second, we find:
ds/dt = (5/7) * 4 = 20/7 ≈ 2.86 feet per second
Thus, the length of the person's shadow is growing at a rate of approximately 2.86 feet per second.
A combination of the skill-related fitness components can determine one's performance in a specific sport. true or false
Dee is on a swing in the playground. the chains are 2.5 m long, and the tension in each chain is 450 n when dee is 55 cm above the lowest point of her swing. tension is a vector directed along the chain, measured in newtons, abbreviated n. what are the horizontal and vertical components of the tension at this point in the swing
The horizontal and vertical components of the tension at the given point in the swing are 281.6 N and 351 N respectively.
Given data:
The length of chain is, L = 2.5 m.
The magnitude of tension on each chain is, T = 450 N.
Distance above the lowest point is, d = 55 cm = 0.55 m.
In problem, first we need to obtain the angle of inclination made by string horizontally.
So, the angle inclined by the string with horizontal is given as,
[tex]cos \theta =\dfrac{L-d}{L}\\\\cos \theta =\dfrac{2.5-0.55}{2.5}\\\\\theta = cos^{-1}(\dfrac{1.95}{2.5})\\\\\theta=38.74^{\circ}[/tex]
Now, the horizontal component of tension force acting on the string is,
[tex]T_{H}=T \times cos \theta\\T_{H}=450 \times cos 38.74\\T_{H}=281.6 \;\rm N[/tex]
And, the vertical component of tension force acting on the string is,
[tex]T_{V}=T \times sin \theta\\T_{V}=450 \times sin 38.74\\T_{V}=351 \;\rm N[/tex]
Thus, the horizontal and vertical components of the tension at this point in the swing are 281.6 N and 351 N respectively.
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If a 400 N force is applied to a 10 kg object, how fast will it accelerate?
a) 40 m/s2
b) 40000 m/s2
c) 4000 m/s2
d) 4 m/s2
for humans, why is the characteristic of climate regularity important?
If 2 automobiles have the same velocity, do they have the same acceleration?
A car is driving along a circular track of diameter d=.85km at a constant speed of v=28.5m/s. write an expression for the magnitude of the acceleration a of the car in terms of the given parameters
Answer: a = (2 v²)/d = 1.9 m/s²
Explanation:
In circular motion, the acceleration is given by:
a = v²/r = v²/(d/2) = (2 v²)/d
where v is the velocity and r is the radius of the circular path in which the vehicle is moving. d is the diameter of the circular path.
It is given that:
v = 28.5 m/s
r = d/2 = 0.85 km /2 = 0.425 km = 425 m
⇒ a = (28.5 m/s)²/425 m = 1.9 m/s²
An expression for the magnitude of the acceleration (a) of the car in terms of the given parameters is: [tex]A_c = \frac{2V^2}{D}[/tex]
Given the following data:
Diameter, D = 0.85 kmSpeed, V = 28.5 m/s.To write an expression for the magnitude of the acceleration (a) of the car in terms of the given parameters:
The acceleration of an object along a circular track is referred to as centripetal acceleration.
Mathematically, the centripetal acceleration of an object is given by the formula:
[tex]A_c = \frac{V^2}{r}[/tex] .....equation 1
Where:
Ac is the centripetal acceleration.r is the radius of the circular track.V is the velocity of an object.But, [tex]Radius, \;r = \frac{D}{2}[/tex] .....equation 2
Substituting the eqn 2 into eqn 1, we have:
[tex]A_c = \frac{V^2}{\frac{D}{2}}[/tex]
Simplifying further, we have:
[tex]A_c = \frac{2V^2}{D}[/tex]
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A kite 100 ft above the ground moves horizontally at a speed of 12 ft/s. at what rate is the angle (in radians) between the string and the horizontal decreasing when 200 ft of string have been let out?
Final answer:
The angle between the string and the horizontal is decreasing at a rate of -0.4 radians/second.
Explanation:
In order to solve this problem, we can use trigonometry and the chain rule from calculus. Let's denote the angle between the string and the horizontal as θ. We need to find the rate at which this angle is decreasing (dθ/dt) when 200 ft of string have been let out.
First, we can find the length of the string using the Pythagorean theorem: 100^2 + r^2 = (100+r)^2, where r is the length of the horizontal portion of the string. Solving this equation gives us r = 50 ft.
Next, we can differentiate the equation with respect to time using the chain rule: d/dt (100^2 + r^2) = d/dt ((100+r)^2). Simplifying the equation and solving for dθ/dt gives us dθ/dt = -100/(r+r^2/100).
Plugging in r = 50 ft, we can find dθ/dt = -0.4 radians/second.
In general, which of the following is NOT a critical skill for participating in a sport? A. agility and balance B. endurance and muscle control C. hand-eye coordination and acuity D. none of the above
The answer is :D. None of the above
Agility and balance is very important in sport activities such as soccer, especially seen when players dribble the ball at high speed. Endurance and muscle control is very important in sport such as gymnastic or boxing. Hand-eye coordination and acuity is important in sports such as golf.
Answer:
the answer is d none of the above
Explanation:
Determine the total number (#/cm3) of energy states in silicon between ev and ev ? 3 kt at (i) t ? 300 k and (ii) t ? 400 k. (b) repeat part (a) for gaas
To determine the density of states in silicon or GaAs at specific energies, one needs to use the formula related to effective mass and semiconductor band structure. The question does not provide enough information to perform these calculations, and additional data is required.
Explanation:The question implies determining the number of energy states within a certain energy range in silicon and gallium arsenide (GaAs) semiconductors at different temperatures. The challenge is to understand the concept of density of states (DoS) and how it varies with energy and temperature. The density of states is a function that describes the number of states per interval of energy at each energy level available to be occupied by electrons or holes. At T = 300 K and T = 400 K, we would use the DoS formula, which depends on effective mass and energy of the semiconductor material. However, the question as provided does not include enough information or specific parameters to calculate the density of states for silicon and GaAs between given energy levels and at specific temperatures.
To find the density of states at E = 0.80 eV, E = 2.2 eV, and E = 5.0 eV, you would use a formula related to the effective mass of the electrons and the structure of the semiconductor band. However, without the actual formulas or values specific for silicon and GaAs, it is not possible to calculate the exact density of states at these energy levels. Furthermore, the additional information provided in the challenge problems discusses concepts like the free electron gas model and the Fermi factor but is not directly applicable to calculating the density of states without further context.
If the thrower takes 0.90 s to complete one revolution, starting from rest, what will be the speed of the discus at release?
The discus, after completing one revolution in 0.90 seconds starting from rest, will be released at a speed of approximately 6.98 rad/s.
Explanation:This question is related to the concept of rotational motion in physics. As it is stated that the discus thrower takes 0.90s to complete one revolution, and the discus is starting from rest, the rotational speed or the angular velocity (ω) can be calculated using the formula ω = 2π/T, where T is the period of rotation which is the time to complete one revolution. Substituting the given values into the formula gives us ω = 2π/0.90 s which is approximately 6.98 rad/s.
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To determine the speed of a discus at release, given the time for one revolution is 0.90 seconds, we first find the angular velocity to be approximately 6.98 rad/s. Then, using the radius of the circle, we can calculate the linear speed. For a radius of 1 meter, the speed is approximately 6.98 m/s.
When calculating the speed of the discus at release, we first need to determine the angular velocity. Given that the thrower completes one revolution in 0.90 seconds, we can use the formula for angular velocity:
ω = 2π / T
where ω is the angular velocity and T is the period of one revolution. Substituting the given values, we get:
ω = 2π / 0.90 s ≈ ( 2 x 3.14 ) / 0.90s ≈ 6.98 rad/s
Next, to find the linear speed at release, we use the relationship between linear speed (v), angular velocity (ω), and radius (r):
v = ωr
Assuming we know the radius of the circle in which the discus is being rotated, we can substitute r. If r is, for example, 1 meter, then:
v ≈ 6.98 rad/s * 1 m ≈ 6.98 m/s
Therefore, the speed of the discus at release would be approximately 6.98 meters per second.