A spring of unstretched length $l$ has a mass $m$ with one end fixed to a rigid support .Assuming spring to be made of a uniform wire, the kinetic energy possessed by it if its free end is pulled with uniform velocity $v$ is

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 particle is moving in a horizontal circle with constant speed. It has constant

A car travelling at a speed of $30\, km/hour$  is brought to a halt in $8\, m$ by applying brakes. If the same car is travelling at $60 \,km/hour$, it can be brought to a halt with the same braking force in …………… $\mathrm{m}$

If the linear momentum is increased by $5\%$, the kinetic energy will increase by…….$\%$