Question

A sphere of mass 0.1 kg moves with a velocity 10 m/s towards an identical sphere at rest. If the coefficient of restitution is 1/2, the ratio of the
velocities of the two spheres after the collision will be
(A) 1:1
(B) 1:2
(C) 1:3
(D) 3:1​

Answer 1

Answer:

The law of conservation  of linear momentum tells us that the overall momentum before the collision must be equal to the overall momentum after a collision.

Since the spheres have identical masses, we can write

mu+m×0=mvA+mvB

u=vA+vB

From the definition of the coefficient of restitution, we know that

e=uvB−vA

solving above two equations

e×(vA+vB)=vB−vA

vB(1−e)=vA(1+e)

vBvA=1+e1−e

Answer 2

Answer:

ANSWER IS IN THE PHOTO...