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Q.

When the cart maximally compresses the spring at the bottom of the fixed track, the cart's:

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a

velocity and acceleration are zero

b

velocity is non-zero but its acceleration is zero

c

acceleration is non-zero, but its velocity is zero

d

velocity and acceleration are both non-zero

answer is C.

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Detailed Solution

At equilibrium position Fnet = 0 and velocity is maximum but after that spring force increases and net force becomes in upward direction therefore at maximum compression acceleration will be non-zero.Let compression in spring is x.At maximum compression dxdt=0 ⇒v=0.
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When the cart maximally compresses the spring at the bottom of the fixed track, the cart's: