A body of mass \( 2 \mathrm{~kg} \) moving with a velocity \( 3 \mathrm{~m} / \mathrm{s} \) coll...

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A body of mass \( 2 \mathrm{~kg} \) moving with a velocity \( 3 \mathrm{~m} / \mathrm{s} \) collides with a body of mass \( 1 \mathrm{~kg} \) moving with a velocity of \( 4 \mathrm{~m} / \mathrm{s} \) in opposite direction, if the collision is head on and completely inelastic, then
(1) the momentum of system is \( 2 \mathrm{~kg} \mathrm{~m} / \mathrm{s} \) throughout
(2) the momentum of system is \( 10 \mathrm{~kg} \mathrm{~m} / \mathrm{s} \) throughout
(3) the loss of KE of system is (49/3) \( \mathrm{J} \) in collision
(4) both particles move together with velocity \( (2 / 3) \mathrm{m} / \mathrm{s} \) after collision
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