05 Dec

Solution:

Momentum is conserved only in the X direction since there is the force of gravity in the Y direction.

Initial momentum in X direction = (M + m)v

Final momentum

For final momentum

Velocity of bullet with respect to car in X – direction = v2 cos (alpha)

Assume the recoil velocity of car = v1

Velocity of bullet with respect to O = v1 + v2cos (alpha)

Total final momentum along X – direction = m(v1 + v2 cos (alpha)) + Mv1

==>                    v1(M + m) = (M + m) vmv2 cos (alpha)

Leave a Comment