Question #84d11
1 Answer
Explanation:
First of all lets us find out the velocities of both the blocks after first block hits the second and also compresses the spring.
Initial momentum
Initial momentum
Assuming that the blocks keep on moving in the same direction due to coupling provided by the spring
Final momentum
Equating the two due the conservation of momentum we get
In the state of equilibrium both the blocks must move at the same speed as an integrated system on a friction-less horizontal surface.
Now (1) reduces to
or
Using law of conservation of energy
Initial KE
where
Multiplying both sides by
or
or
Solving for