For a particle moving under the action of a variable force, kinetic energy-position graph is given, then

If the kinetic energy of a body becomes four times of its initial value, then new momentum will

A bomb is kept stationary at a point. It suddenly explodes into two fragments of masses $1\, g$ and $3\;g$. The total K.E. of the fragments is $6.4 \times {10^4}J$. What is the K.E. of the smaller fragment

When kinetic energy of a body becomes $36$ times of its original value, the percentage increase in the momentum of the body will be :

A bomb of mass $9\,kg$ explodes into $2$ pieces of mass $3\,kg$ and $6\,kg.$ The velocity of mass $3\,kg$ is $1.6\, m/s$, the K.E. of mass $6\,kg$ is ............ $J$

A car accelerates from rest to $u\,m / s$. The energy spent in this process is $E\,J$. The energy required to accelerate the car from $u\,m / s$ to $2u\,m / s$ is $nE\,J$. The value of $n$ is ..............