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

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

1.	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» the SPEED of the PARTICLE when it returns to its equilibrium POSITION is `u_(0)` the TIME at which the particle passes through the equilibrium position for the first time is `t=pisqrt(m/k)` the time at which the maximum compression of the spring occurs is `t=(4pi)/3sqrt(m/k)` the time at which the particle passes through the equilibrium position for the SECOND time is `t=(5pi)/3sqrt(m/k)` Answer :A::D