Question

Two objects of masses 150 g and 250 g are moving along the same line and direction with velocities of 3 m s 1 and 2 m s 1, respectively. They collide and after the collision, the first object moves at a velocity of 1.67 m s 1. Determine the velocity of the second object.

Answer 1

Explanation:

mass of one object m1 =150 g (0.15 kg)

mass of one object m2 = 250g (0.25 kg)

velocity of m1 before collision v1 = 2 m/s

velocity of m2 before collision v2 = 1 m/s

velocity of m1 after collision v3 = 1.67 m/s

velocity of m2 after collision = v4

according to the law of momentum :

total momentum before collision = total momentum after collision

therefore, m1v1 + m2v2 = m1v3 + m2v4

2(0.15) + 1(0.25) = 1.67(0.15) + v4(0.25)

0.55 = 0.167 + 0.25v4

v4 = 1.142 m/s

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