A bomb of $12 kg$ divides in two parts whose ratio of masses is $1 : 3$. If kinetic energy of smaller part is $216 J$, then momentum of bigger part in kg-m/sec will be

A stationary particle explodes into two particles of masses $x$ and $y$, which move in opposite directions with velocity $v_1$ and $v_2$. The ratio of their kinetic energies $\left(E_1: E_2\right)$ is

A light and a heavy body have equal momenta. Which one has greater K.E

A spring is compressed between two toy carts of masses $m_1$ and $m_2$. When the toy carts are released the spring exerts equal and opposite forces for the same time $t$ on each toy cart. If the coefficients of friction $\mu $ between the ground and the toy carts are equal, then the displacement of the toy carts are in the ratio

If momentum of a body is increased by $20 \%$, then its kinetic energy increases by$....\%$

A particle is acted upon by a force of constant magnitude which is always perpendicular to the velocity of the particle, the motion of the particle takes place in a plane. It follows that