Question

A sphere of mass 25 Kg is moving at a speed of 1.5 m/s undergoes collision with another sphere of mass 50 Kg moving at 3m/s in the same direction, find the velocity of 50 Kg mass in m/s after collision when the collision is inelastic with e = 0.6.

(a) 2.2

(b) 2.00

(c) 3.5

(d) 3.1

The question was posed to me in an interview.

Asked question is from Loss of Kinetic Energy During Elastic Impact in portion Kinematics & Kinetics of Motion of Machine Kinematics

Answer 1

Correct choice is (a) 2.2

Explanation: Velocity during elastic collision is given by

m1u1 + m2u2/(m1+ m2) = v

substituting the values we get

V = 2.5 m/s

v1 = 2(1+e)V – eu1

v1 = 2.2 m/s.