A North-going Zak has a mass of 50 kg and is traveling at 4 m/s. A South -going Zak has a mass of 40 kg and is traveling at 5 m/s. If they have a perfectly inelastic collision, what is their final velocity? What are the initial and final total kinetic energies?
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Answer:
by linear momentum conservation
50 * 4 + 40 * 5 = 90 * v
(since rhey stick after collision)
v = 400 ÷ 90
initial kinetic energy = (50 *16)÷2 + (40 * 25)÷2
= 400 + 500= 900
final KE = (90 * 400 * 400)÷(90*90 *2)
= 8000÷9
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