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 ........ $m$

Write the equation of total mechanical energy of body of mass $m$ falls freely from height $H$.

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 $\left.g=10\, {m} / {s}^{2}\right)$

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 bomb of mass $10\, kg$ explodes into two pieces of masses $4\, kg$ and $6\, kg$. If  kinetic energy of $4\, kg$ piece is $200\, J$. Find out kinetic energy of $6\, kg$ piece

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 ............... $\mathrm{cm}$