A body of mass $40\,kg$ having velocity $4 \,m/s$ collides with another body of mass $60\,kg$ having velocity $2\, m/s$. If the collision is inelastic, then loss in kinetic energy will be .............. $J$
$440$
$392$
$48$
$144$
A body of mass $40\,kg$ having velocity $4 \,m/s$ collides with another body of mass $60\,kg$ having velocity $2\, m/s$. If the collision is inelastic, then loss in kinetic energy will be .............. $J$
Loss in kinetic energy
$ = \frac{1}{2}\frac{{{m_1}{m_2}{{({u_1} - {u_2})}^2}}}{{{m_1} + {m_2}}} = \frac{1}{2}\left( {\frac{{40 \times 60}}{{40 + 60}}} \right){(4 - 2)^2}$$ = 48\,Joule$
Other Language