NITIAL FINAL: A white billiard ball with mass m 1.41 kg is moving directly to th

Question

NITIAL FINAL: A white billiard ball with mass m 1.41 kg is moving directly to the right with a speed of v 3.31 m/s and collides elastically with a black billiard ball with the same mass mb = 1.41 kg that is initially at rest. The two collide elastically and the white ball ends up moving at an angle above the horizontal of -26" and the black ball ends up moving at an angle below the horizontal of ,-64. 1) What is the final speed of the white ball? m/s Submit /s |Submit 2) What is the final speed of the black ball? m/s Submit 3) What is the magnitude of the final total momentum of the system? kg-m/s Submit 4) What is the final total energy of the system? JSubmit

Explanation / Answer

conservation of momentum

m1u1+ m2u2= m1v1 +m2v2

1.41 x 3.31 +0 =1.41v1cos(thetaw)+1.41v2cos(thetab)

1.41sin(thetaw) =1.41sin(thetab)

conservation of energy

0.5m1u21+0.5 m2u22=0.5 m1v21 +0.5m2v22

0.5m1u21 =0.5 m1v21 +0.5m2v22

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