Problem 21 A 0.170-kg ball is moving at 3.20 m/s toward the right. It collides e

Question

Problem 21 A 0.170-kg ball is moving at 3.20 m/s toward the right. It collides elastically with a 0.155-kg ball moving at 2.50 m/s toward the left. 1) Calculate the final velocity of 0.170-kg ball. (Express your answer to three significant figures.) to ttsleft Submit You currently have 0 submissions for this question. Only 10 submission are allowed. You can make 10 more submissions for this question. 2) Calculate the final velocity of 0.155 ball. (Express your answer to three significant figures.) to the right Submit You currently have 0 submissions for this question. Only 10 submission are allowed. You can make 10 more submissions for this question. Sta Mu

Explanation / Answer

Let the velocities after collision be v1 and v2

By the conservation of momentum we have

m1u1 + m2u2 = m1v1 + m2v2

0.17*3.2 + 0.155*(-2.5) = 0.17v1 + 0.155v2  

0.17v1 + 0.155v2 = 0.1565 -------------(1)

for a elastic collision

Velocity of approach = velocity of recces

v2-v1 = u1 - u2

v2 - v1 = 3.2 - (-2.5)

v2 - v1 = 5.7 ------(2)

mutiply the (1) by 0.17 and adding we have

0.325 v2 = 1.1255

v2 = 3.46 m/s

v1 = v2 - 5.7 = 3.46 - 5.7 = -2.24 m/s

1) 2.24 m/s to the left

2) 3.46 m/s to the right

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