A ball of mass m is fastened to a string. The ball swings at a constant speed in

Question

A ball of mass m is fastened to a string. The ball swings at a constant speed in a vertical circle of radius R with the other end of the string held fied. Neglecting air resistance, what is the difference between the string's tension at the bottom of the circle and at the top of the circle?

(A) 1mg

(B) 2mg

(C) 4mg

(D) 5mg

(E) 6mg

I know that the answer is (B) 2mg, I just don't know why. Please give an explanation as to why the answer is 2mg. Thank you, will upvote.

2. A ball of mass m is fastened to a string. The ball swings at constant speed in a vertical circle of radius R with the other end of the string held fixed. Neglecting air resistance, what is the difference between the string's tension at the bottom of the circle and at the top of the circle? (A) 1 mg (B) 2 mg (C 4 mg DO 5 rm (E) 6 mg

Explanation / Answer

At top of the circle

T = ma -mg

At bottom of the circle

T = ma+mg

So difference = ma-mg-ma-mg = - 2mg

So option B is correct

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