A particle of mass m is kept on a smooth cube of mass M and side L as shown in figure. Cube starts moving with a constant velocity v . Displacement of the center of mass along the horizontal direction when particle hits the ground is
Time taken by particle to hit the ground, here is the time to leave the block by the particle, and is the time to hit the ground after leaving the block.
Using equation of motion
Now, in horizontal direction,
The distance moved by the center of mass in this time,
Therefore, the correct answer is (C)