A child of mass 4 kg jumps from cart to cart and then immediately back to cart . The mass of each cart is 20 kg and they are initially at rest. In both the cases the child jumps at 6 m/s relative to the cart. If the cart moves along the same line with negligible friction with the final velocities of and , respectively, find the ratio of and

A child of mass 4 kg jumps from cart to cart and then immediately back to cart . The mass of each cart is 20 kg and they are initially at rest. In both the cases the child jumps at 6 m/s relative to the cart. If the cart moves along the same line with negligible friction with the final velocities of and , respectively, find the ratio of and

1 Answer

127 votes

**(1)**

All the velocities shown in diagrams are w.r.t. ground

After first jump:

and (given)

Solve to get

When child arrives on :

After the second jump:

Solve to get

When child arrives on :

Now

127 votes

127