A white billiard ball with mass m w = 1.42 kg is moving directly to the right wi

Question

A white billiard ball with mass mw = 1.42 kg is moving directly to the right with a speed of v = 3.34 m/s and collides elastically with a black billiard ball with the same mass mb = 1.42 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 = 31

A white billiard ball with mass mw = 1.42 kg is moving directly to the right with a speed of v = 3.34 m/s and collides elastically with a black billiard ball with the same mass mb = 1.42 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 = 31 degree and the black ball ends up moving at an angle below the horizontal of ?b = 59degree.

Explanation / Answer

1) Speed of white ball = 3.34*cos31 = 2.86293878435 m/s

2) speed of black ball = 3.34cos59 = 1.7202271702m/s

3) Final momentum = initial momentum = 1.42*3.34 =4.7428 kg m/s

4) Elastic collision hence initial and final energy would be same

= 0.5*1.42*3.34^2 = 7.920476 J

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