A 20 kg cart travelling to the right at 10 m/s collides head-on with a 10 kg car

Question

A 20 kg cart travelling to the right at 10 m/s collides head-on with a 10 kg cart travelling 6 m/s to the left After the collision, the 10 kg cart is travelling 8 m/s to the right, What is the velocity of the 20 kg cart after the collision? Determine whether or not the collision is elastic (Show your calculations), Discuss whether or not your answers to parts a) and b) are reasonable. Include specific reasons why you think the answers are or are not reasonable You must show all work, starting with the equations on the front page, to receive credit.

Explanation / Answer

a) conserving momentum of the system

taking right as positive

20*10+(10*-6) = 10*8 +20*V

V = 3 m/sec ( towards right )

b) we know that coefficient of restitution

e = V2-V1/u1-u2

e = 8-3/10+6

e = 0.3125

e is not equal to one so inelastic collision

c) yes my answers are reasonable

as in inelastic collision energy is not conserved

during collision some energy is lost as heat

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