Two blocks, each of mass m, moving in opposite directions with the same speed u, on a horizontal frictionless surface collide with each other, stick together and come to rest. Then,

Work done by external force on the system is zero.

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Work done by the external force on the system is .

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Work done by the internal force on the system is zero.

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Work done by the internal force on the system is -

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Solution

The correct options are
A
Work done by external force on the system is zero.

D
Work done by the internal force on the system is -

$P_{i}$ = mu - mu =0, $P_{f}$ = 0, as they come to rest.

$⟹$ $F_{e x t}$ =0

$⟹$ $W_{e x t}$ =0

$⟹$ $K_{f} - K_{i}$ = (0 $- (\frac{1}{2} m u^{2}$ + $\frac{1}{2} m u^{2}$ )) =- $m u^{2}$

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Two blocks, each of mass m, moving in opposite directions with the same speed u, on a horizontal frictionless surface collide with each other, stick together and come to rest. Then,

The correct options are A Work done by external force on the system is zero. D Work done by the internal force on the system is - Pi = mu - mu =0, Pf= 0, as they come to rest. ⟹Fext =0 ⟹Wext =0 ⟹ Kf−Ki = (0 −(12mu2+12mu2)) =-mu2