Question

A body X ofmass 50 kg moving with a velocity of20m/s hits a stationary objectY.Afterthe collision,the velocity ofbody X is 4m/s.Find the velocity ofobjectY.

Answer 1

Answer:

Given,

m

1

=4kg

m

2

=8kg

u

1

=9m/s

u

2

=0 because body is at rest.

The coefficient of restitution 0<e<1 the collision is inelastic, linear momentum is conserved. Final velocity are same v

By the conservation of linear momentum.

m

1

u

1

+m

2

u

2

=m

1

v

1

+m

2

v

2

m

1

u

1

=(m

1

+m

2

)v

v=

m

1

+m

2

m

1

u

1

v=

4+8

4×9

v=3m/s