A particle $A$ is projected vertically upwards. Another particle $B$ is projected at an angle of $45^{\circ}$. Both reach the same height. The ratio of the initial kinetic energy of $A$ to that of $B$ is
$1 : 2$
$2 : 1$
$1\,\,:\,\,\sqrt 2 $
$\sqrt 2 \,\,:\,\,1$
A body of mass $5\; kg$ is moving with a momentum of $10\; kg m / s$. A force of $0.2\; N$ acts on it in the direction of motion of the body for $10\; sec$. Find the increase in its kinetic energy.
If a man increase his speed by $2 \,m/s$ , his K.E. is doubled, the original speed of the man is
The slope of kinetic energy displacement curve of a particle in motion is
If a lighter body (mass ${M_1}$ and velocity ${V_1}$) and a heavier body (mass ${M_2}$ and velocity ${V_2}$) have the same kinetic energy, then
The momentum of a body is increased by $50 \%$. The percentage increase in the kinetic energy of the body is $...........\,\%$