A $50\,kg$ man with $20\,kg$ load on his head climbs up $20$ steps of $0.25\,m$ height each. The work done in climbing is......$J$

A particle is dropped from a height $h$. A constant horizontal velocity is given to the particle. Taking $g$ to be constant every where, kinetic energy $E$ of the particle w. r. t. time t is correctly shown in

The force $\vec F\, = F\hat i$ on a particle of mass $2\, kg$, moving along the $x-$ axis is given in the figure as a function of its position $x$. The particle is moving with a velocity of $5\, m/s$ along the $x-$ axis at $x\, = 0$. What is the kinetic energy of the particle at $x\,= 8\, m$ ? .................. $\mathrm{J}$

A wooden block of mass $M$  is suspended by a cord and is at rest. A bullet of mass $m,$ moving with a velocity $v$ passes through the block and comes out with a velocity $v/2$  in the same direction. If there is no loss in kinetic energy, then upto what height the block will rise

Two bodies of masses $2m$ and $m$ have their K.E. in the ratio $8 : 1$, then their ratio of momenta is

Two masses of $1\,kg$ and $16\,kg$ are moving with equal K.E. The ratio of magnitude of the linear momentum is