Question

Two objects of messes of 100 gm and 200 gm are moving in along the same line and direction with velocities of 2 m/s and 1 m/s respectively. They collide and after collision, the first object moves at a velocity of 1.67 m/s. Determine the velocity of the second object.

Answer 1

Here m=100g=.01kg

m'=200g=0.02kg

u=2m/s and u'=1m/s

v=1.67m/s

According to the law of conservation of momentum:

Total momentum before collision = Total momentum after collision

mu+m'u'=mv+m'v'

.01x2+.02x1=.01x1.67+.02xv'

.02+.02=.0167+.02v'

v'=1.165m/s