If the kinetic energy of an object is increased by $300 \%$,find the percentage $(\%)$ increase in its linear momentum.

$A$ boy is rolling a $0.5\, kg$ ball on a frictionless floor with a speed of $20\, ms^{-1}$. The ball gets deflected by an obstacle on the way. After deflection,it moves with $5\%$ of its initial kinetic energy. What is the speed of the ball now? (in $ms^{-1}$)

If the kinetic energy of a body is increased by $300\%$,then the percentage change in momentum will be:

When the mass and speed of the body are doubled,the kinetic energy of the body

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

$A$ 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