If the kinetic energy $(K.E.)$ of a particle is doubled,then its momentum will

$A$ man who is running has half the kinetic energy of a boy of half his mass. The man speeds up by $1 \,ms^{-1}$ and then has the same kinetic energy as the boy. The initial speed of the boy is

If the momentum of a body increases by $0.01\%$,its kinetic energy will increase by ........... $\%$

In a ballistics demonstration,a police officer fires a bullet of mass $50.0 \; g$ with a speed of $200 \; m s^{-1}$ into soft plywood of thickness $2.00 \; cm$. The bullet emerges with only $10 \%$ of its initial kinetic energy. What is the emergent speed of the bullet?

Two masses of $1 \,g$ and $4 \,g$ are moving with equal kinetic energies. The ratio of the magnitudes of their linear momenta is

$A$ particle is initially at rest on a frictionless horizontal surface. $A$ force of constant magnitude and direction is applied to it. The graph shows the work done $(W)$ on the particle versus its speed $(v)$. If no other horizontal forces act on the particle,what should the graph look like?