Methods of momentum

The blocks of mass m₁ and m₂ have on the smooth inclined planes. If they are at rest initially, find out the speed of the blocks after time t. Let T be the tension in the string, V the final speed.

Applying impulse momentum equation to m₂

Similarly, applying, the impulse momentum equation to m₁

Similarly, applying, the impulse momentum equation to m₁

Thus,

                             or,