A force of $5\,N$ acts on a body of mass $5\, kg$ for $1\, second$ and gives it a momentum $p$ and kinetic energy $E$. If the same force accelerates the same body through $1\,m$, the momentum and energy attained by the body are $p’$ and $E’$ respectively. Which of the following relations is correct?

A stationary particle breaks into two parts of masses $m_A$ and $m_B$ which move with velocities $v_A$ and $V_B$ respectively. The ratio of their kinetic energies $\left(\mathrm{K}_B: \mathrm{K}_{\mathrm{A}}\right)$ is :

Two bodies $A$ and $B$ having masses in the ratio of $3 : 1$ possess the same kinetic energy. The ratio of their linear momenta is then

A shell of mass $200\, gm$ is ejected from a gun of  mass $4\, kg$ by an explosion that generates $1.05\, kJ$ of energy. The initial velocity of the shell is .............. $\mathrm{ms}^{-1}$

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

The bob of a simple pendulum (mass m and length $ l$) dropped from a horizontal position strikes a block of the same mass elastically placed on a horizontal frictionless table. The K.E. of the block will be