The answer should be B. Thank you for your help! After collision VB Before colli

Question

The answer should be B. Thank you for your help!

After collision VB Before collision Two billiard balls, A and B, are moving on a frictionless table as shown above. Their masses are ma08 kg and mB-0.5 kg Before collision, ball A is moving in the direction 3r off the x-axis with speed 6 m/s, while ball B is moving along the ry-axis with speed vB 2m/s. After collision, ball A moves along the +y-axis, while ball B moves along the x-axis. Ignore air resistance 9) What is Pofter , the magnitude of the total momentum after collision a. Pafter 4.16 kg m/s ?Pafter-5.37 kg. m/s C. Pafter2.75 kg m/s d. Pafter 3.4 kg.m/s e. Pafter-756 kg . m/s The next two questions pertain to the situation described below.

Explanation / Answer

Apply law of conservation of moment along x axis,

mA*vAix + mB*vBix = mA*vAfx + mB*vBfx

0.8*6*cos30 + 0 = 0 + 0.5*vB

vBf = 8.31 m/s

Apply law of conservation of moment along y axis,

mA*vAiy + mB*vBiy = mA*vAfy + mB*vBfy

0.8*6*sin30 + 0.5*2 = 0.8*vA + 0

vAf = 4.25 m/s

Total momentum after collision,

Pafter = 0.8*4.25 + 0.5*8.31

Pafter = 3.4 j + 4.15 i

Pafter = sqrt [(3.4)^2 + (4.15)^2] = 5.37

Pafter = 5.37 kg.m/s

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