Class 9 Science - Chapter Force and Laws of Motion NCERT Solutions | Two objects, each of mass 1.5 kg, are mo

Welcome to the NCERT Solutions for Class 9th Science - Chapter Force and Laws of Motion. This page offers a step-by-step solution to the specific question from Exercise 3, Question 11: two objects each of mass 1 5 kg are moving in th....
Question 11

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-1 before the collision during which they stick together. What will be the velocity of the combined object after collision?

Answer

Mass of first objects, m1 = 1.5 kg

Mass of second 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)

We know that

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) v

3.75 − 3.75 = 3 v

v = 0 / 3 = 0

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

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