A white billiard ball with mass m w = 1.54 kg is moving directly to the right wi
ID: 1286088 • Letter: A
Question
A white billiard ball with mass mw = 1.54 kg is moving directly to the right with a speed of v = 3.3 m/s and collides elastically with a black billiard ball with the same mass mb = 1.54 kg that is initially at rest. The two collide elastically and the white ball ends up moving at an angle above the horizontal of ?w = 58 and the black ball ends up moving at an angle below the horizontal of ?b = 32.
1)
What is the final speed of the white ball?
m/s
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2)
What is the final speed of the black ball?
m/s
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3)
What is the magnitude of the final total momentum of the system?
kg-m/s
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4)
What is the final total energy of the system?
J
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Explanation / Answer
1.54*3.3 = 1.54*cos58*vw +1.54*cos32*vb
3.3 = 0.53vw + 0.85vb,,,,,,,,,,,,(1)
along y axis
0 = 1.54*sin58*vw - 1.54*sin32*vb
vb = 1.6 vw..............(2)
from 1 & 2
1) vw = 1.75 m/s
2) vb = 2.8 m/s
3) mwvw + mbvb = 7.007 kg m/s
4) KE = 0.5*mw*vw^2 + 0.5*mb*vb^2 = 8.4 J
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