The momentum of a body is increased by $50 \%$. The percentage increase in the kinetic energy of the body is $...........\,\%$

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 bodies having kinetic energy in the ratio $4: 1$ are moving with the same linear velocity. The ratio of their masses is

Which of the following graphs represents the graphical relation between momentum $(p)$ and kinetic energy $(K)$ for a body in motion?

The kinetic energy of a man is half that of a boy whose mass is half that of the man. If the man increases his speed by $1 \ m/s$,his kinetic energy becomes equal to that of the boy. What is the initial speed of the man?

Two solids $A$ and $B$ of mass $1\, kg$ and $2\, kg$ respectively are moving with equal linear momentum. The ratio of their kinetic energies $(K.E.)_{A} : (K.E.)_{B}$ will be $\frac{A}{1},$ so the value of $A$ will be ..... .