Question

Two objects come toward each other. A 0.5kg ball travels right at 1.0 m/s and hits a 1.5kg ball is traveling left at 0.50m/s. If the collision is 100% inelastic, what is the velocity of the 0.5kg ball after the collision?

Answer 1

The final velocity of the 0.5 kg mass after the inelastic collision is 0.125 m/s to the left.

Final velocity of the smaller mass

The final velocity of the 0.5kg mass is determined by applying the principles of conservation linear momentum for inelastic collision as follows.

m₁u₁  + m₂u₂ = v(m₁ + m₂)

where;

• v is the final velocity of the two mass after inelastic collision.

0.5(1) + 1.5(-0.5) = v(0.5 + 1.5)

0.5 - 0.75 = v(2)

-0.25 = 2v

$v = \frac{-0.25}{2} \\\\v = -0.125 \ m/s$

Thus, the final velocity of the 0.5 kg mass after the inelastic collision is 0.125 m/s to the left.

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