Problem 9.99 Two balls, of masses mA-50 g and mB70 g.are suspended as shown in t

Question

Problem 9.99 Two balls, of masses mA-50 g and mB70 g.are suspended as shown in the figure. The lighter ball is pulled away to a 66 angle with the vertical and released. Assume that the positive z axis is directed to the right. 30 cm Q Tap image to zoom Part A What is the velocity of the lighter ball before impact? Express your answer using two significant figures. A1.9 Correct Part B What is the velocity of each ball after the elastic collision Express your answers using two significant figures. Enter your answers numerically separated by a comma. In Submit

Explanation / Answer

let the velocities of ball A and B after impact are vA and vB in positive direction.

By conservation of momentum :

mAuA = mAvA + mBvB

50*1.9 = 50vA + 70vB

9.5 = 5vA + 7vB ........(1)

coefficient of restitution is given by e = velocity of seperation/velocity of approach

for elastic collision e = 1

1 = (vB -vA)/(uA - 0)

vB - vA = 1.9 .........(2)

from equation 1 and 2

vA = - 0.2533 m/sec

vB = 1.647 m/sec

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