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Question -

Two objects, each of mass 1.5 kg, are moving in the same straight linebut in opposite directions. The velocity of each object is 2.5 ms-1 beforethe collision during which they stick together. What will be the velocity ofthe combined object after collision?



Answer -

Given, mass of theobjects (m1 and m2) = 1.5kg

Initial velocity ofthe first object (u1) = 2.5 m/s

Initial velocity ofthe second object which is moving in the opposite direction (u2) =-2.5 m/s

When the two massesstick together, the resulting object has a mass of 3 kg (m1 + m2)

Velocity of theresulting object (v) =?

As per the law ofconservation of momentum, the total momentum before the collision is equal tothe total momentum after the collision.

Total momentum beforethe collision = m1u1 + m2u2

= (1.5kg) (2.5 m/s) +(1.5 kg) (-2.5 m/s) = 0

Therefore, totalmomentum after collision = (m1+m2) v = (3kg) v = 0

Therefore v = 0

This implies that theobject formed after the collision has a velocity of 0 meters per second.

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