Figure shows 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(t) = (0.1 m)cos(40 s-1 t), where x is the displacement of the mass from its equilibrium position. The two masses collide elastically just as the vibrating mass passes through its equilibrium position traveling to the right.

(a) What should be the velocity v of the second mass so that the mass-spring system is at rest following the elastic collision?

(b) What is the velocity of the second mass after the elastic collision?

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