The same retarding force is applied to stop a train. The train stops after $80 m$. If the speed is doubled, then the distance will be

The graph between $\sqrt E $and $\frac{1}{p}$ is ($E$=kinetic energy and $p = $ momentum)

If a man increase his speed by $2 \,m/s$ , his K.E. is doubled, the original speed of the man is

A particle of mass $0.1 \,kg$ is subjected to a force which varies with distance as shown. If it starts its journey from rest at $x=0$, then its velocity at $x=12 \,m$ is .............. $m / s$

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

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 ............... $\mathrm{m}$