A body of mass $4\, kg$ moving with velocity $12 \,m/s$ collides with another body of mass $6\, kg$ at rest. If two bodies stick together after collision, then the loss of kinetic energy of system is .............. $J$
$0$
$288$
$172.8 $
$144$
A body of mass $4\, kg$ moving with velocity $12 \,m/s$ collides with another body of mass $6\, kg$ at rest. If two bodies stick together after collision, then the loss of kinetic energy of system is .............. $J$
Loss in K.E. = $\frac{{{m_1}{m_2}}}{{2({m_1} + {m_2})}}{\left( {{u_1} - {u_2}} \right)^2}$
= $\frac{{4 \times 6}}{{2 \times 10}} \times {(12 - 0)^2}$
$= 172.8 \,J$