judy (mass 40kg) standing on slippery ice, catches her dog atti(mass 15kg) leaping toward her at 3.0 m/s. Use conservation of momentum to show that the speed of judy and her dog after the catch is 0.8 m/s .

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babBaraanna babBaraanna

23-09-2016
Mathematics

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judy (mass 40kg) standing on slippery ice, catches her dog atti(mass 15kg) leaping toward her at 3.0 m/s. Use conservation of momentum to show that the speed of judy and her dog after the catch is 0.8 m/s .

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Edufirst Edufirst · Answer 1 · 2016-10-05T20:23:41-04:00

Conservation of momentum => momentum before catch = momentum after catch.

Momentum before catch:
Judy's mass Judy's velocity + dog's mass dog's velocity = 40 kg 0m/s + 15 kg 3.0 m/s = 0 + 45.0 kg m/s

Momentum after catch:

Mass of Judy and dog velocity = (40 kg + 15 kg)v = 55kgv

Equaility of the momenta:

55kgv = 45.0 kg m/s

Divide both sides by 55 kg

v = [45.0 / 55] m/s = 0.82 m/s

Using one significative figure: v = 0.8 m/s