Circular Motion (College Board AP® Physics 1: Algebra-Based)

Exam Questions

5 mins5 questions
1
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1 mark

A ball on the end of a string of length 0.8 space straight m is being spun in a horizontal circular path. The instantaneous speed of the ball at point A is 2 space straight m divided by straight s and at point B is 2.25 space straight m divided by straight s. It takes 0.05 space straight s for the ball to pass from point A to point B.

A circular diagram showing points A and B on the circumference. Labels: T=1.2s, vA=2m/s, vB=2.25m/s, Δt=0.05s, radius=0.8m with dotted lines connecting points.

It takes 1.2 space straight s for the ball to make one full rotation of the circular path. Which of the following is the best estimate of the net acceleration of the ball between points A and B?

  • 5 space straight m divided by straight s squared

  • 9 space straight m divided by straight s squared

  • 15 space straight m divided by straight s squared

  • 20 space straight m divided by straight s squared

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21 mark

A yo-yo of mass 500 space straight g is rotated in a vertical circular path on the end of a string 50 space cm long. At the lowest point in the path the tension in the string is 20 space straight N. Which of the following is the best estimate for the tangential speed of the bucket?

  • v space equals space 2 space straight m divided by straight s

  • v space equals space 4 space straight m divided by straight s

  • v space equals space 7 space straight m divided by straight s

  • v space equals space 36 space straight m divided by straight s

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3
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A car of mass 1.4 space cross times space 10 to the power of 4 space kg is travelling around a banked curve at 76 space km divided by hr. The curve is banked at 4 degree to the horizontal and is rated at a speed of 20 space straight m divided by straight s with a radius of 50 space straight m. Which of the following is the closest estimate of the sideways frictional force required between the car and the road to keep the car in its lane as it drives around the curve?

  • 114 space 589 space straight N

  • 124 space 258 space straight N

  • 125 space 750 space straight N

  • 1 space 613 space 242 space straight N

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41 mark

A ball of mass 0.8 space kg is suspended from the end of a light inextensible string held at an angle of 12 degree to the vertical. The tension in the string is 18 space straight N when the ball is moved in uniform horizontal circular motion of radius 26 space cm. Which of the following is a best estimate for the angular velocity of the ball?

  • 0.19 space rad space straight s to the power of negative 1 end exponent

  • 0.74 space rad space straight s to the power of negative 1 end exponent

  • 0.55 space rad space straight s to the power of negative 1 end exponent

  • 4.0 space rad space straight s to the power of negative 1 end exponent

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5
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Triton is one of Neptune's moons and orbits at a height of 354 comma space 800 space km above the surface of Neptune. It takes 6 Earth days for Triton to complete one orbital rotation of Neptune. Neptune has a mass of 1 space cross times space 10 to the power of 24 space kg. Which of the following is a best estimate for the radius of Neptune?

  • 1.8 space cross times space 10 to the power of 5 space straight m

  • 3.5 space cross times space 10 to the power of 7 space straight m

  • 3.6 space cross times space 10 to the power of 8 space straight m

  • 6.8 space cross times space 10 to the power of 8 space straight m

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