AP Physics 1: Algebra-Based 2.9 A Describe the Motion of an Object Traveling in a Circular Path Questions

Practise circular-motion models that connect tangential velocity, period, inward acceleration and the force components maintaining horizontal or vertical paths.

Syllabus
Effective Fall 2024
Course
AP Physics 1: Algebra-Based

Exam points

  • calculate centripetal acceleration or radial net force and compare changes in speed or radius
  • identify inward acceleration and net force while velocity is tangent to the circular path
  • resolve tension, normal force and weight into radial equations for vertical or conical motion
  • determine the minimum top or bottom speed and starting height needed to maintain loop contact
  • calculate period, frequency or tangential speed from revolutions and circular-path radius

AP Physics 1: Algebra-Based 2.9 A Describe the Motion of an Object Traveling in a Circular Path Questions question 1

[Maximum number: 3]

(7 points, suggested time 13 minutes)
A block of mass M is released from rest at Point A, a height 6 R above the horizontal. After being released, the block slides down a track, as shown. When released from Point A, the block does not lose contact with the track at any point. Points B and C are located at the highest points of their respective circular loops, both of radius R. All frictional forces are negligible.

Figure for Question AP Physics 1: Algebra-Based 2.9 A Describe the Motion of an Object Traveling in a Circular Path Questions question 1 — AP Physics 1: Algebra-Based

Diagram A shows an energy bar chart that represents the gravitational potential energy UgU_{g} of the block-Earth system and the kinetic energy K of the block at Point A, when the block is released from rest at height 6 R.

Question (a)

(a)

On the following dot that represents the block, draw and label the forces (not components) that are exerted on the block at the instant the block slides through Point C. Each force must be represented by a distinct arrow starting on, and pointing away from, the dot.

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Question (b)

(b)

A student claims that 4 R is the minimum height of Point A, such that the block can slide through Point C without losing contact with the track after the block is released from rest. Briefly explain why this claim is incorrect.

Figure 1

Figure 1

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