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9. A ball of 500 g is attached to a string and starts from rest and speeds up with a constant tangential acceleration of 3.00 m/s² on a circular path of radius 1.5 m. The picture below is view from top down. (a) What is the angular acceleration of the ball? (b) What is the ball's angular speed 6.0 s after it starts? (c) What is the ball's tangential (linear) velocity at 6.0 s?

9. A ball of 500 g is attached to a string and starts from rest and speeds up with a constant tangential acceleration of 3.00 m/s² on a circular path of radius 1.5 m. The picture below is view from top down. (a) What is the angular acceleration of the ball? (b) What is the ball's angular speed 6.0 s after it starts? (c) What is the ball's tangential (linear) velocity at 6.0 s?

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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can you answer parts d and e please?

**Circular Motion Problem** A ball of 500 g is attached to a string and starts from rest, speeding up with a constant tangential acceleration of \(3.00 \, \text{m/s}^2\) on a circular path of radius \(1.5 \, \text{m}\). The picture below is viewed from top down. (a) **What is the angular acceleration of the ball?** (b) **What is the ball’s angular speed 6.0 s after it starts?** (c) **What is the ball’s tangential (linear) velocity at 6.0 s?** (d) **What is the magnitude and direction of the ball’s centripetal force at 6.0 s? In this problem, is the tension of the string on the ball the same thing as the centripetal force?** (e) **At 6 seconds the string is cut, what path would the ball follow (path A, B, or C) and at what speed? Before the ball was cut, what other force acted on the ball besides the tension (the centripetal force) on the ball? No, not the centrifugal force. Guess again.** **Diagram Description:** The diagram shows a hand holding a string attached to a ball moving in a circular path. The ball's motion is shown as being cut, and three potential paths (A, B, C) are depicted as possible trajectories the ball might follow once the string is cut. Path A is tangential to the circle at the point of release, while paths B and C are curved away from the circle in different directions.
Transcribed Image Text:**Circular Motion Problem** A ball of 500 g is attached to a string and starts from rest, speeding up with a constant tangential acceleration of \(3.00 \, \text{m/s}^2\) on a circular path of radius \(1.5 \, \text{m}\). The picture below is viewed from top down. (a) **What is the angular acceleration of the ball?** (b) **What is the ball’s angular speed 6.0 s after it starts?** (c) **What is the ball’s tangential (linear) velocity at 6.0 s?** (d) **What is the magnitude and direction of the ball’s centripetal force at 6.0 s? In this problem, is the tension of the string on the ball the same thing as the centripetal force?** (e) **At 6 seconds the string is cut, what path would the ball follow (path A, B, or C) and at what speed? Before the ball was cut, what other force acted on the ball besides the tension (the centripetal force) on the ball? No, not the centrifugal force. Guess again.** **Diagram Description:** The diagram shows a hand holding a string attached to a ball moving in a circular path. The ball's motion is shown as being cut, and three potential paths (A, B, C) are depicted as possible trajectories the ball might follow once the string is cut. Path A is tangential to the circle at the point of release, while paths B and C are curved away from the circle in different directions.
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