Ball 1, with a mass of 130 g and traveling at 10 m/s, collides head on with ball

Question

Ball 1, with a mass of 130 g and traveling at 10 m/s, collides head on with ball 2, which has a mass of 340 g and is initially at rest. What are the final velocities of each ball if the collision is perfectly elastic? Express your answer using two significant figures. Express your answer using two significant figures. What are the final velocities of each ball if the collision is perfectly inelastic? Express your answer using two significant figures. Express your answer using two significant figures.

Explanation / Answer

Let

m1 = 130 g, u1 = 10 m/s

m2 = 340 g, u2 = 0

after the collsion,

A) v1 = (m1 - m2)*u1/(m1+m2)

= (130 - 340)*10/(130 + 340)

= -4.47 m/s

B) V2 = 2*m1*u1/(m1+m2)

= 2*130*10/(130 + 340)

= 5.53 m/s

C) in perfectly inelastic collision, both balls stick and move together.

m1*u1 = (m1+m2)*v

v = m1*u1/(m1+m2)

= 130*10/(130+340)

= 2.77 m/s

v1 = 2.77 m/s

d) v2 = 2.77 m/s

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