A $120\, g$ mass has a velocity $\vec v = 2\hat i + 5\hat j\,m{s^{ - 1}}$ at a certain instant. Its kinetic energy is .................. $\mathrm{J}$
$3$
$4$
$5$
$1.74$
A body of mass $(4m)$ is lying in $x-y$ plane at rest. It suddenly explodes into three pieces. Two pieces, each of mass $(m)$ move perpendicular to each other with equal speeds $(v).$ The total kinetic energy generated due to explosion is................. $mv^2$
A body of mass $8\,kg$ and another of mass $2\, kg$ are moving with equal kinetic energy. The ratio of their respective momenta will be.
The kinetic energy of a body of mass $3 \,kg$ and momentum $2 \,N-s$ is
Equal force $F ( > mg)$ is applied to string in all the $3$ cases. Starting from rest, the point of application of force moves a distance of $2 m$ down in all cases. In which case the block has maximum kinetic energy?
Two bodies are having kinetic energies in the ratio $16: 9$. If they have same linear momentum, the ratio of their masses respectively is