A small object is sliding on a smooth horizontal floor along a vertical wall. The wall makes a smooth turn by an angle θ 0 . Coefficient of friction between the wall and the block is μ . Speed of th

Question

A small object is sliding on a smooth horizontal floor along a vertical wall. The wall makes a smooth turn by an angle θ 0 ​ . Coefficient of friction between the wall and the block is μ . Speed of the object before the turn is u . Find its speed (V) just after completing the turn. [The turn is smooth and there are no sharp corners.]

TestHub · Accepted Answer

The wall's normal reaction is always perpendicular to the velocity, so it does no work.

Friction $μ N$ opposes the sliding; resolving along the smooth turn, the speed falls exponentially with the turn angle.

$V = u e^{- μ θ_{0}}$

Answer: C

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