. Two objects, 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

Best Answer

Answer: Given, mass of the objects (m1 and m2) = 1.5kg

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

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

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

Velocity of the resulting object (v) =?

As per the law of conservation of momentum, the total momentum before the collision is equal to the total momentum after the collision.

Total momentum before the collision = m1u1 + m2u2

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

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

Therefore v = 0

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

Talk to Our counsellor