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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 m/s before the collision during which they stick together. What will be the velocity of the combined object after collision?

Answer :

Given, mass of the objects \( m_1 and m_2 \) = 1.5 kg

Initial velocity of the first object \( u_1 \) = 2.5 m/s

Initial velocity of the second object which is moving in the opposite direction \( u_2 \) = -2.5 m/s

When the two masses stick together, the resulting object has a mass of 3 kg i.e., \( m_1 + m_2 \)

Velocity of the resulting object (v) =?

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

\(\Rightarrow \) (1.5) (2.5) + (1.5) (-2.5) = 0

Therefore, total momentum after collision = \( m_1 + m_2 \) v = (3) v = 0

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

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