Question Detail

PHY 101 Rotational Motion Objective Question
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Question

A centripetal force F_c is required to keep an object of mass m moving in a circular path of radius r with constant speed v. Its magnitude is given by
Options
A F_c = mv/r
B F_c = mv²/r
Correct Answer
C F_c = mvr
D F_c = mv²r
Correct Answer

Option B is the correct answer.

Detailed Explanation

Centripetal force is the net force causing centripetal acceleration. From Newton's second law, F_c = m a_c. Since centripetal acceleration a_c = v²/r, the centripetal force is F_c = m (v²/r) = mv²/r.

Hint

Apply Newton's second law (F = ma) using the expression for centripetal acceleration.

Question Info

Course: PHY 101
Topic: Rotational Motion
Type: Objective
Difficulty: Not specified
Question 766 of 1250
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