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A particle of mass m is attached to one end of a massless 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

Answer» <html><body><p>the <a href="https://interviewquestions.tuteehub.com/tag/speed-1221896" style="font-weight:bold;" target="_blank" title="Click to know more about SPEED">SPEED</a> of the <a href="https://interviewquestions.tuteehub.com/tag/particle-1147478" style="font-weight:bold;" target="_blank" title="Click to know more about PARTICLE">PARTICLE</a> when it returns to its equilibrium <a href="https://interviewquestions.tuteehub.com/tag/position-1159826" style="font-weight:bold;" target="_blank" title="Click to know more about POSITION">POSITION</a> is `u_(0)`<br/>the <a href="https://interviewquestions.tuteehub.com/tag/time-19467" style="font-weight:bold;" target="_blank" title="Click to know more about TIME">TIME</a> at which the particle passes through the equilibrium position for the first time is `t=pisqrt(m/k)`<br/>the time at which the maximum compression of the spring occurs is `t=(4pi)/3sqrt(m/k)` <br/>the time at which the particle passes through the equilibrium position for the <a href="https://interviewquestions.tuteehub.com/tag/second-1197322" style="font-weight:bold;" target="_blank" title="Click to know more about SECOND">SECOND</a> time is `t=(5pi)/3sqrt(m/k)`</p>Answer :A::D</body></html>


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