Two identical balls,A and B,of uniform compos | vedclass

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Question

(B) When the balls are heated,they expand,and their radii increase. This causes the center of mass of each ball to shift.For ball $A$,which is suspend

Vedclass · Accepted Answer

$T_A > T_B$

Vedclass · Answer

(B) When the balls are heated,they expand,and their radii increase. This causes the center of mass of each ball to shift.For ball $A$,which is suspended from the ceiling,the expansion causes its center of mass to move downward. As the center of mass moves downward,the gravitational potential energy of ball $A$ decreases. This decrease in potential energy is converted into internal energy,providing additional heating to the ball.For ball $B$,which rests on the floor,the expansion causes its center of mass to move upward. As the center of mass moves upward,the gravitational potential energy of ball $B$ increases. This increase in potential energy requires energy,which is taken from the absorbed heat,effectively reducing the energy available for increasing the temperature of the ball.Since ball $A$ gains additional internal energy from its gravitational potential energy change while ball $B$ loses some of its absorbed heat to increase its gravitational potential energy,the final temperature of ball $A$ will be higher than that of ball $B$. Therefore,$T_A > T_B$.

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