Questions: Problem 7: (3% of Assignment Value) Please answer the following questions about uniform circular motion. - Part (a) v A planet orbits a star in a circular orbit at a constant orbital speed. Which of the following statements is true? The planet experiences a centripetal force pulling towards its star. Correct! - Part (b) v When a planet is orbiting a star, which force plays the role of the centripetal force? The gravitational force. Correct! - Part (c) v Which of the following statements about uniform circular motion is true? An object in uniform circular motion experiences a centripetal force. Correct! Part (d) A student swings a ball on a string in a circle at a constant speed, then suddenly lets go of the string. When the student lets go of the string, what happens from a physics standpoint? The centripetal force disappears. A tangential force stops acting on the ball. A tangential force starts acting on the ball. A centripetal force starts acting on the ball. Nothing happens from the standpoint of physics. None of these are correct.

Problem 7: (3% of Assignment Value) Please answer the following questions about uniform circular motion. - Part (a) v A planet orbits a star in a circular orbit at a constant orbital speed. Which of the following statements is true? The planet experiences a centripetal force pulling towards its star. Correct! - Part (b) v When a planet is orbiting a star, which force plays the role of the centripetal force? The gravitational force. Correct! - Part (c) v Which of the following statements about uniform circular motion is true? An object in uniform circular motion experiences a centripetal force. Correct! Part (d) A student swings a ball on a string in a circle at a constant speed, then suddenly lets go of the string. When the student lets go of the string, what happens from a physics standpoint? The centripetal force disappears. A tangential force stops acting on the ball. A tangential force starts acting on the ball. A centripetal force starts acting on the ball. Nothing happens from the standpoint of physics. None of these are correct.
Transcript text: Problem 7: (3\% of Assignment Value) Please answer the following questions about uniform circular motion. - Part (a) $v$ A planet orbits a star in a circular orbit at a constant orbital speed. Which of the following statements is true? The planet experiences a centripetal force pulling towards its star. $\checkmark$ Correct! - Part (b) $\boldsymbol{v}$ When a planet is orbiting a star, which force plays the role of the centripetal force? The gravitational force. $\checkmark$ Correct! - Part (c) $v$ Which of the following statements about uniform circular motion is true? An object in uniform circular motion experiences a centripetal force. $\checkmark$ Correct! Part (d) A student swings a ball on a string in a circle at a constant speed, then suddenly lets go of the string. When the student lets go of the string, what happens from a physics standpoint? The centripetal force disappears. A tangential force stops acting on the ball. A tangential force starts acting on the ball. A centripetal force starts acting on the ball. Nothing happens from the standpoint of physics. None of these are correct.
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Solution

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Solution Steps

Step 1: Understanding the Problem

We need to determine what happens from a physics standpoint when a student swings a ball on a string in a circle at a constant speed and then suddenly lets go of the string.

Step 2: Analyzing the Forces

When the ball is being swung in a circle, it experiences a centripetal force directed towards the center of the circle. This force is provided by the tension in the string.

Step 3: Effect of Releasing the String

When the student lets go of the string, the tension (and thus the centripetal force) disappears. Without the centripetal force, the ball will no longer follow a circular path.

Step 4: Resulting Motion

According to Newton's first law of motion, an object in motion will continue in a straight line unless acted upon by an external force. Therefore, the ball will move in a straight line tangential to the point where the string was released.

Final Answer

The correct statement is: "The centripetal force disappears."

\(\boxed{\text{The centripetal force disappears.}}\)

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