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AP Physics 1 : Kinetic Energy

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Example Question #41 : Kinetic Energy

Moment of inertia of a ring: I=m*r^2

A bicycle wheel has a mass of 2.8kg and a radius of 622mm . Determine the total kinetic energy of the wheel if the bicycle is moving at $10\frac{m}{s}$ . The wheel may be approximated as a hollow ring.

Possible Answers:

None of these

2.8J

280J

140J

635J

Correct answer:

280J

Explanation:

$KE_{total}=KE_{trans}+KE_{rot}$

$KE_{total}=.5mv^2+.5I\omega^2$

I=m*r^2

$\omega=\frac{v}{r}$

Combining equations

$KE_{total}=.5mv^2+.5*m*v^2$

Plugging in values:

$KE_{total}=2.8*10^2$

$KE_{total}=280J$

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Example Question #91 : Work, Energy, And Power

A spaceship of mass 7500kg is motionless in space. The rocket is turned on and provides a constant force of 1000N . Assume the loss of mass due to spent fuel is negligible.

Determine the kinetic energy of the ship after 10s .

Possible Answers:

5654J

6633J

1133J

3.14J

None of these

Correct answer:

6633J

Explanation:

F=ma

Plugging in values

1000=7500*a

$a=.133\frac{m}{s}$

Using

v_i+a*t=v_f

0+.133*10=v_f

$v_f=1.33\frac{m}{s}$

Using

KE=.5mv^2

KE=.5*7500*1.33^2

KE=6633J

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Example Question #41 : Kinetic Energy

Moment of inertia of a ring: I=m*r^2

A bicycle wheel has a mass of 2.3kg and a radius of 550mm . Determine the total kinetic energy of the wheel if the bicycle is moving at $8\frac{m}{s}$ . The wheel may be approximated as a hollow ring.

Possible Answers:

168J

98J

111J

147J

None of these

Correct answer:

147J

Explanation:

$KE_{total}=KE_{trans}+KE_{rot}$

$KE_{total}=.5mv^2+.5I\omega^2$

I=m*r^2

$\omega=\frac{v}{r}$

Combining equations

$KE_{total}=.5mv^2+.5*m*v^2$

Plugging in values:

$KE_{total}=mv^2$

$KE_{total}=2.3*8^2$

$KE_{total}=147J$

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Example Question #44 : Kinetic Energy

An object of mass moves with velocity . How fast must an object of mass move in order to have the same kinetic energy of the object of mass ?

Possible Answers:

$\frac{v^2}{4}$

$\frac{v^2}{8}$

$\frac{v^2}{2}$

Correct answer:

$\frac{v^2}{2}$

Explanation:

Kinetic energy is equal to $\frac{1}{2}mv^2$ . The object of mass and velocity therefore has kinetic energy equal to $\frac{1}{2}mv^2$ . Let's let the object of mass have velocity $v_{4m}$ . Therefore, its kinetic energy is $\frac{1}{2}mv_{4m}^2$ . We want to find $v_{4m}$ such that the two objects to have the same kinetic energy, so we can equate their two kinetic energies. $\frac{1}{2}mv^2=\frac{1}{2}4mv_{4m}^2$

$v^2=4v_{4m}^2$

$\frac{v^2}{4}=v_{4m}^2$

$\frac{v^2}{2}=v_{4m}$

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Example Question #41 : Kinetic Energy

If the velocity of an objects is halved, what is the resulting change in the kinetic energy?

Possible Answers:

Doubles

Squared

Quadrupled

Quartered

No change.

Correct answer:

Quartered

Explanation:

The equation for kinetic energy is:

$KE=\frac{1}{2}mv^2$ , where is the velocity of the object. Therefore, if we halve the velocity, we can substitute that into our equation, and see what will change in the kinetic energy equation:

$KE=\frac{1}{2}m(\frac{1v}{2})^2=\frac{1}{2}m\frac{1}{4}v^2$

Thus, the kinetic energy is quartered.

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Example Question #46 : Kinetic Energy

What is the kinetic energy of an object of mass $2.5\: kg$ traveling at $4\: \frac{m}{s}$ ?

Possible Answers:

$40\: J$

$20\: J$

$30\: J$

$50\: J$

$10\: J$

Correct answer:

$20\: J$

Explanation:

To answer this question, we'll need to use the formula for kinetic energy.

$KE=\frac{1}{2}mv^{2}$

Plugging in the values given to us, we can solve for our answer.

$KE=\frac{1}{2}(2.5\: kg)(4\: \frac{m}{s})^{2}$

$KE=20\:J$

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Example Question #42 : Kinetic Energy

An object has a mass, M, and a velocity, V.

What happens to the object's kinetic energy if its mass is doubled?

Possible Answers:

The object's kinetic energy remains the same.

The object's kinetic energy goes to zero.

The object's kinetic energy is halved.

The object's kinetic energy is quadrupled.

The object's kinetic energy is doubled.

Correct answer:

The object's kinetic energy is doubled.

Explanation:

The equation for kinetic energy is:

$KE=\frac{1}{2}mv^2$

Where is the object's kinetic energy, is the object's, and is the object's velocity.

We can see that the relationship between kinetic energy and mass is linear, so when the velocity is doubled, the kinetic energy is also doubled.

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Example Question #43 : Kinetic Energy

An object has a mass, M, and a velocity, V.

What happens to the object's kinetic energy if its velocity is doubled?

Possible Answers:

The object's momentum remains the same.

The object's momentum is doubled.

The object's momentum is one fourth of its original momentum.

The object's momentum is halved.

The object's momentum is quadrupled.

Correct answer:

The object's momentum is quadrupled.

Explanation:

The equation for kinetic energy is:

$KE=\frac{1}{2}mv^2$

Where is the object's kinetic energy, is the object's, and is the object's velocity.

We can see that the relationship between kinetic energy and velocity is quadratic, so when the velocity is doubled, the kinetic energy is quadrupled.

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Example Question #44 : Kinetic Energy

A ball with a mass of 3 kilograms is uniformly accelerated from rest and travels 110 meters in 6 seconds. What is its final kinetic energy in Joules after 6 seconds?

Possible Answers:

2017 Joules

1888 Joules

1500 Joules

2300 Joules

2012 Joules

Correct answer:

2017 Joules

Explanation:

Find the final velocity by multiplying the average velocity by 2. Then substitute into the equation for kinetic energy.

$V_{f}=\frac{110}{6}\times2=36.67\frac{m}{s}$

$KE=.5(3kg)(36.67\frac{m}{s})^2\rightarrow \boldsymbol{2017J}$

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AP Physics 1 : Kinetic Energy

Study concepts, example questions & explanations for AP Physics 1

All AP Physics 1 Resources

Example Questions

Example Question #41 : Kinetic Energy

Example Question #91 : Work, Energy, And Power

Example Question #41 : Kinetic Energy

Example Question #44 : Kinetic Energy

Example Question #41 : Kinetic Energy

Example Question #46 : Kinetic Energy

Example Question #42 : Kinetic Energy

Example Question #43 : Kinetic Energy

Example Question #44 : Kinetic Energy

All AP Physics 1 Resources

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