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Q. An object of mass $80\, kg$ moving with velocity $2\, ms ^{-1}$ hit by collides with another object of mass $20\, kg$ moving with velocity $4\, ms ^{-1}$. Find the loss of energy assuming a perfectly inelastic collision

Work, Energy and Power

Solution:

Loss in kinetic energy
$\Delta k=\frac{m_{1} m_{2}}{2\left(m_{1}+m_{2}\right)}\left(u_{1}-u_{2}\right)^{2}$
$\Delta k=32\, J$