A ball is tied to a lightweight string and swung in a vertical circle, as shown in the figure below. The ball's mass is m = 0.280 kg and the length of the string is L = 0.835 m. A ball of mass m at the end of a string is shown. The string is of length L. A circular dashed line is shown that indicates the path of the ball as it is swung around from the end of the string. (b) Which of the following statements is true about the forces on the ball when the ball is at the bottom of the circular path? - The magnitude of the tension force is equal to the magnitude of the gravitational force. - The magnitude of the tension force is greater than the magnitude of the gravitational force. - The magnitude of the tension force is less than the magnitude of the gravitational force, but not zero. - The magnitude of the tension force is zero. (c) Which of the following statements is true about the forces on the ball when the ball is at the top of the circular path? (Assume the tension at this point is not zero.)\ - The tension force points downward, but the gravitational force is zero. - The tension force on the ball points upward and the gravitational force on the ball points downward. The magnitude of the tension force is less than that of the gravitational force. - The tension force on the ball points upward and the gravitational force on the ball points downward. - The magnitude of the tension force is greater than that of the gravitational force. - Both the tension force on the ball and the gravitational force on the ball point downward. (d) If the ball has a speed of 5.05 m/s at the top of the circle, what is the tension (in N) in the string there? N (e) If the string breaks when its tension exceeds 21.5 N, what is the maximum speed the ball can have (in m/s) at the bottom before that happens? m/s

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter5: More Applications Of Newton’s Laws

Section: Chapter Questions

Problem 6OQ: A pendulum consists of a small object called a bob hanging from a light cord of fixed length, with...

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A ball is tied to a lightweight string and swung in a vertical circle, as shown in the figure below. The ball's mass is

m = 0.280 kg

and the length of the string is

L = 0.835 m.

A ball of mass m at the end of a string is shown. The string is of length L. A circular dashed line is shown that indicates the path of the ball as it is swung around from the end of the string.

(b) Which of the following statements is true about the forces on the ball when the ball is at the bottom of the circular path?

- The magnitude of the tension force is equal to the magnitude of the gravitational force.

- The magnitude of the tension force is greater than the magnitude of the gravitational force.

- The magnitude of the tension force is less than the magnitude of the gravitational force, but not zero.

- The magnitude of the tension force is zero.

(c) Which of the following statements is true about the forces on the ball when the ball is at the top of the circular path? (Assume the tension at this point is not zero.)\

- The tension force points downward, but the gravitational force is zero.

- The tension force on the ball points upward and the gravitational force on the ball points downward. The magnitude of the tension force is less than that of the gravitational force.

- The tension force on the ball points upward and the gravitational force on the ball points downward.

- The magnitude of the tension force is greater than that of the gravitational force.

- Both the tension force on the ball and the gravitational force on the ball point downward.

(d) If the ball has a speed of 5.05 m/s at the top of the circle, what is the tension (in N) in the string there?

____ N

(e) If the string breaks when its tension exceeds 21.5 N, what is the maximum speed the ball can have (in m/s) at the bottom before that happens?

____ m/s

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