A body at rest explodes into 2 pieces of unequal mass then the parts will move ?
(a) arbitrarily
(b) in same direction
(c) in opposite directions with equal speeds
(d) in opposite directions with unequal speeds
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Option (d) in opposite direction with unequal speeds.
Explanation:
Initially the body was at rest. Then, the initial momentum of the body was zero. Later, the body starts moving, even then the final momentum will remain zero due to concept of conservation of momentum of centre of mass.
Now, the two parts broke into two unequal parts meaning that their masses are unequal. So, in order to conserve the momentum, we have;
m₁v₁ = - m₂v₂
Since, the masses aren't equal. Hence, the velocities are also not likely to be equal. Therefore, the two parts will move in opposite directions with unequal speeds in order to conserve the net momentum.
Hope it helps! ;-))
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