Question

T93 There is a vibrating mass-spring system supported on a frictionless surface and a second equal mass that is moving toward the vibrating mass with velocity v. the motion of the vibrating mass is given by x = Acosωt (where x is the displacement of the mass from its equilibrium position in m, A is the amplitude of 0.1 m, and ω is the angular frequency of 40 rad/s). The two masses collide elastically just as the vibrating mass passes through its equilibrium position traveling to the right. What should be the velocity v of the second mass so that the mass-spring system is at rest following the elastic collision? What is the velocity of the second mass after the elastic collision?

Answer 1

Formula used : elastic collision in one dimension