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A particle of mass m is attached to one ...

A particle of mass m is attached to one end of a mass-less spring of force constant k, lying on a frictionless horizontal plane. The other end of the spring is fixed. The particle starts moving horizontally from its equilibrium position at time `t=0` with an initial velocity `u_0`. when the speed of the particle is `0.5u_0`, it collides elastically with a rigid wall. After this collision

A

the speed of the particle when it reuturns to its equilibrium position is `u_(0)`

B

the time at which the particle passes through the euqilirbrium position for the first time is `t = pisqrt((m)/(k))`

C

the time at which the maximum compression of the spring of occurs is `t = (4pi)/(3)sqrt((m)/(k))`

D

the time at which the particle passes through equilibrium position for the second time is `t = (5pi)/(3)sqrt((m)/(k))`

Text Solution

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The correct Answer is:
A, D
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