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A ball of mass M moving with velocity V 0 on a frictionless surface strikes the first of two identical balls, each of mass m = 2 kg, connected by a massless spring with spring constant k = 1 kg/s 2 (see Figure). Consider the collision to be central and elastic and essentially instantaneous. (a) Find the minimum value of the mass M for the incident ball to strike the system of two balls again. (b) How much time will elapse between the two collisions?

A ball of mass M moving with velocity V0 on a frictionless surface strikes the first of two identical balls, each of mass m = 2 kg, connected by a massless spring with spring constant k = 1 kg/s2 (see Figure). Consider the collision to be central and elastic and essentially instantaneous.


(a) Find the minimum value of the mass M for the incident ball to strike the system of two balls again.
(b) How much time will elapse between the two collisions?

Grade:11

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