Ball 1, with a mass of 130 g and traveling at 12.0 m/s , collides head on with b

ID: 1349330 • Letter: B

Question

Ball 1, with a mass of 130 g and traveling at 12.0 m/s , collides head on with ball 2, which has a mass of 330 g and is initially at rest.

Part A

What are the final velocities of each ball if the collision is perfectly elastic?

Express your answer with the appropriate units.

Part B

Express your answer with the appropriate units.

Part C

What are the final velocities of each ball if the collision is perfectly inelastic?

Express your answer with the appropriate units.

Part D

Express your answer with the appropriate units.

(vfx)1 =

When the collision is perfectly elastic

A ) let the velocities be v1 and v2 after collision

velocity of approach = velocity of recess

=(v2-v1 ) = u1-u2

= (v2-v1 ) = 12- 0

v2-v1 = 12 .............(1)

by the conservation of momentum , we have

m1v1 + m2v2 = m1u1+m2u2

0.13v1 + 0.33v2 = 0.13*12 + 0

0.13v1 + 0.33v2 = 1.56 ...................(2)

multiplyin the (1) by 0.13 and adding we get

0.46 v2 = 3.12

v2 = 6.78 m /s

v1 = 6.78 - 12 = -5.22 m/s

velocity of ball with 330g = 6.78m/s

velocity of ball with 130g = 5.22 m/s

When the collision is perfectly inelastic , both the masses will stick to each other and move with the same speed

let the speed of the mass be v

so by the conservation of momentum , we have

m1u1+m2u2 = (m1+m2)V

0.13*12 + 0 = (0.13+0.33)V

V = 3.4 m/s

vfx1 = 3.4m/s vfx2 = 3.4m/s

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