Rotational Kinetic Energy, Torque & Work (College Board AP® Physics 1: Algebra-Based)

Exam Questions

5 mins5 questions
1
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1 mark
Line graph showing torque (τ, in Newton-meters) decreasing linearly from 14 N·m at 0 degrees to 0 N·m at 35 degrees, with grid lines for precision.

The graph shows the net torque applied to a body as a function of angular position.

Which of the following is most nearly the change in kinetic energy of the body after it has rotated through an angle of 35°?

  • 4.3 space straight J

  • 8.6 space straight J

  • 245 space straight J

  • 490 space straight J

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2
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1 mark

A fairground wheel of radius 15 space straight m and mass 4 cross times 10 to the power of 5 space kg is mounted on the fixed, frictionless axle of a motor. The wheel can be modeled as a hoop of rotational inertia M R squared. The motor increases the angular speed of the wheel from rest to a maximum value of 0.35 space rad divided by straight s in 25.0 space seconds.

Which of the following is most nearly the average power output of the motor?

  • 2.2 cross times 10 to the power of 5 space straight W

  • 4.4 cross times 10 to the power of 5 space straight W

  • 6.3 cross times 10 to the power of 5 space straight W

  • 1.3 cross times 10 to the power of 6 space straight W

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3
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1 mark

A soccer ball of rotational inertia I space equals space 2 over 3 m r squared rolls along a horizontal surface.

What percentage of the soccer ball's total kinetic energy is rotational kinetic energy?

  • 20%

  • 40%

  • 60%

  • 80%

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4
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1 mark

A bowling ball of mass 5.0 space kg and radius 12.0 space cm rolls along a horizontal surface with a velocity of 8 space straight m divided by straight s. The ball is a solid sphere with a rotational inertia of I space equals space 2 over 5 m r squared.

Which of the following is most nearly the total kinetic energy of the bowling ball?

  • 60 space straight J

  • 120 space straight J

  • 160 space straight J

  • 220 space straight J

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5
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1 mark

When a force of 60 space straight N is applied normally to the end of the wrench to tighten a bolt, it turns through an angle of 45 degree.

Which of the following is most nearly the work done on the bolt if the distance from the end of the wrench to the center of the bolt is 22 space cm?

  • 5 space straight J

  • 9 space straight J

  • 10 space straight J

  • 20 space straight J

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