Two objects, each of mass 1.5 kg are moving in the same straight line but in opposite directions.

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asked Oct 17, 2017 in Physics by jisu zahaan (28,760 points) 26 375 814
edited Oct 17, 2017 by jisu zahaan

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?

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answered Oct 17, 2017 by sforrest072 (157,439 points) 61 410 947

Mass of one of the objects, m1 = 1.5 kg 

Mass of the other object, m2 = 1.5 kg 

Velocity of m1 before collision, v1 = 2.5 m/s 

Velocity of m2, moving in opposite direction before collision, v2 = -2.5 m/s 

(Negative sign arises because mass m2 is moving in an opposite direction) 

After collision, the two objects stick together. 

Total mass of the combined object = m1 + m

Velocity of the combined object = v 

According to the law of conservation of momentum: 

Total momentum before collision = Total momentum after collision 

m1v1 + m2 v2 = (m1 + m2) v 

1.5(2.5) + 1.5 (-2.5) = (1.5 + 1.5)

3.75 - 3.75 = 3 v 

v = 0 

Hence, the velocity of the combined object after collision is 0 m/s.

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