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Two object, each of mass `1.5 kg`, are moving in the same straight line but in opposite directions, The velocity of each object is `2.5 ms^(-1)` before the collision during which they stick together. What will be the velocity of the combined object after collision? |
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Answer» Correct Answer - `0 ms^(-1)` Mass of one of the objects, `m_(1) = 1.5 kg ` Mass of the other object, `m_(2) = 1.5 kg` Velocity of m1 before collision, `u_(1) = 2.5 m//s` Velocity of` m_(2)` , moving in opposite direction before collision, `u_(2) = -2.5 m//s` Let v be the velocity of the combined object after collision. By the law of conservation of momentum: Total momentum after collision = Total momentum before collision Or,`= (m_(1) + m_(2)) v=m_(1)u_(1) + m_(2) u_(2) ` Or,` = (1.5 + 1.5) v =1.5xx2.5 + 1.5 xx(-2.5)` [negative sign as moving in opposited direction ] Or, `v=0ms^(-1)` |
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