$A$ projectile of mass $"m"$ is projected from ground with a speed of $50 \,m/s$ at an angle of $53^o$ with the horizontal. It breaks up into two equal parts at the highest point of the trajectory. One particle coming to rest immediately after the explosion. The distance between the pieces of the projectile when they reach the ground are:

A free body of mass $8\, kg$ is travelling at $2\, meter$ per second in a straight line. At a certain instant, the body splits into two equal parts due to internal explosion which releases $16 \,joules$ of energy. Neither part leaves the original line of motion finally

A bullet of mass m moving with velocity $v$ strikes a suspended wooden block of mass $M$. If the block rises to a height $h$, the initial velocity of the block will be

A man is standing on a cart of mass double the mass of man. Initially cart is at rest. Now man jumps horizontally with relative velocity $'u'$ with respect to cart. Then work done by internal forces of the man during the process of jumping will be :

A bomb of mass $9\, kg$ explodes into two pieces of masses $3\, kg$ and $6\, kg$. The velocity of mass $3\, kg$ is $16\, m/s$. The $KE$ of mass $6\, kg$ is ............ $\mathrm{J}$

A bomb of mass $10\, kg$ explodes into two pieces of masses $4\, kg$ and $6\, kg$. If  kinetic energy of $4\, kg$ piece is $200\, J$. Find out kinetic energy of $6\, kg$ piece