A shell initially at rest explodes into two pieces of equal mass, then the two pieces will

Be at rest

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Move with different velocities in different directions

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Move with the same velocity in opposite directions

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Move with the same velocity in same direction

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Solution

The correct option is D Move with the same velocity in opposite directions
Since No External Force act, applyig mometum conservation:
$P_{i} = 0$
$P_{f} = m_{1} v_{1} + m_{2} v_{2}$
$P_{i} = P_{f}$
$0 = m_{1} v_{1} + m_{2} v_{2}$
if $m_{1} = m_{2} = m$
$v_{1} = - v_{2}$
According to law of conservation of linear momentum both pieces should possess equal momentum after explosion. As their masses are equal therefore they will possess equal speed in opposite direction.

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