Two bodies of masses $m_1$ and $m_2$ have equal kinetic energies. If $p_1$ and $p_2$ are their respective momenta,then the ratio $p_1:p_2$ is equal to

$A$ particle is released freely from a height $H$. At a certain height,its kinetic energy is two times its potential energy. Then,the height and the speed of the particle at that instant are respectively ($g=$ acceleration due to gravity).

$A$ toy car of mass $100 \,g$ is moving with a velocity of $(\hat{i}+2 \hat{j}-3 \hat{k}) \,m/s$. The kinetic energy of the car is: (in $\,J$)

Three bodies $A, B$ and $C$ have equal kinetic energies and their masses are $400 \,g, 1.2 \,kg$ and $1.6 \,kg$ respectively. The ratio of their linear momenta is:

$A$ boy is rolling a $0.5\, kg$ ball on a frictionless floor with a speed of $20\, ms^{-1}$. The ball gets deflected by an obstacle on the way. After deflection,it moves with $5\%$ of its initial kinetic energy. What is the speed of the ball now? (in $ms^{-1}$)

Four particles $A, B, C, D$ of mass $\frac{m}{2}, m, 2m, 4m$ have the same momentum,respectively. The particle with maximum kinetic energy is: