Problem 10.42 Ball 1, with a mass of 150 g and traveling at 15 m/s , collides he

Question

Problem 10.42
Ball 1, with a mass of 150 g and traveling at 15 m/s , collides head on with ball 2, which has a mass of 330 g and is initially at rest.
Part A
What is the final velocity of the ball 1 if the collision is perfectly elastic?
Express your answer using two significant figures.

(vfx)1 =
  m/s  

Part B
What is the final velocity of the ball 2 if the collision is perfectly elastic?
Express your answer using two significant figures.

(vfx)2 =
  m/s  

Part C
What is the final velocity of the ball 1 if the collision is perfectly inelastic?
Express your answer using two significant figures.

(vfx)1 =
  m/s  

Part D
What is the final velocity of the ball 2 if the collision is perfectly inelastic?
Express your answer using two significant figures.

(vfx)2 =
  m/s  

Explanation / Answer

m1 =150 g, vi1 =15 m/s , m2 =330g , vi2 =0

Part (A)

From conservation of momentum

m1vi1 +m2vi2 =m1vf1+m2v2f2

(150*15) +0 = (150*vf1) +(330*vf2) ..(1)

for elastic collision v2f - v1f = vi1 - vi2

v2f - v1f = 15 .. (2)

from (1) and (2)

vf1 = -5.6 m/s

Part B: vf2 = 9.4 m/s

Part (C)

in inelastic collision , after collision the two masses are stick together

m1vi1 +m2vi2 =(m1+m2)f2

(150*15) +0 = (150+330)*vf

vf = 4.7 m/s

vf1 =4.7 m/s

Part D: vf2 = 4.7 m/s

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