A ball is dropped from height $10 \,m$. Ball is embedded in sand $1 \,m$ and stops, then

A space craft of mass $'M' $ and moving with velocity $ 'v' $ suddenly breaks in two pieces of same mass $m$. After the explosion one of the mass $ 'm'$  becomes stationary. What is the velocity of the other part of craft

A light spring of length $20\, cm$ and force constant $2\, kg/cm$ is placed vertically on a table. A small block of mass $1\, kg$. falls on it. The length $h$ from the surface of the table at which the ball will have the maximum velocity is ............... $\mathrm{cm}$

An object flying in alr with velocity $(20 \hat{\mathrm{i}}+25 \hat{\mathrm{j}}-12 \hat{\mathrm{k}})$ suddenly breaks in two pleces whose masses are in the ratio $1: 5 .$ The smaller mass flies off with a velocity $(100 \hat{\mathrm{i}}+35 \hat{\mathrm{j}}+8 \hat{\mathrm{k}}) .$ The velocity of larger piece will be

A uniform chain of length $3\, meter$ and mass $3\, {kg}$ overhangs a smooth table with $2\, meter$ laying on the table. If $k$ is the kinetic energy of the chain in joule as it completely slips off the table, then the value of ${k}$ is (Take $\left.g=10\, {m} / {s}^{2}\right)$

A ball is allowed to fall from a height of $10 \,m$. If there is $40 \%$ loss of energy due to impact, then after one impact ball will go up by ........ $m$