Question

A
billiard ball with a mass of 4 g is moving east while a second ball
with a mass of 3 g moves west. Positive x axis is due east. The two
balls come into head on collision while moving in their respective
velocities. Assume that the motion is one dimensional and the
collision is perfectly elastic. If the initial velocities of the
balls are 12 cm/s and 10 cm/s, what are the velocities of each ball
after the collision?

Answer #1

m1 = 4 g

u1 = 12 cm/s

m2 = 3 g

u2 = 10 cm/s

Using conservation of momentum we can write

--------------- (1)

and using conservation of energy we can write

or

--------------- (2)

Using equation 1 and 2

**v2 = 15.143 cm/s** or -10 cm /s and

**v1 = -6.857 cm /s** or 12 cm/s

**So velocity of 4 g mass is 6.857 cm/s toward West and
velocity of 3 g mass is 15.143 cm/s toward East**

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