The answer is A because there is no motion in the direction of the applied force. Centripetal force and velocity are perpendicular.
It has nothing to do with vertical forces canceling
A ball on the end of a string travels in a horizontal circle at a constant speed. The circle has a circumference of 3 m, the ball has a speed of 2 m/s, and the centripetal force is 4 N. How much work is done on the ball each time it goes around?
A) zero
B) 6 J
C) 8 J
D) 12 J
I think the answer is A Because the vertical forces cancel and do no work.
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