1- What is the final speed of the white ball? 2- What is the final speed of the

Question

1- What is the final speed of the white ball?

2- What is the final speed of the black ball?

3- What is the magnitude of the final total momentum of the system?

4- What is the final total energy of the system?

Comment

INITIAL FINAL: OW A white billiard ball with mass mw 1.28 kg is moving directly to the right with a speed of v 3.32 m/s and collides elastically with a black billiard ball with the same mass mb = 1.28 kg that is initially at rest. The two collide elastically and the white ball ends up moving at an angle above the horizontal of 45° and the black ball ends up moving at an angle below the horizontal of b-45°.

Explanation / Answer

Conservation of linear momentum

1.28 * 3.32 = 1.28 *2*V

V = 1.66 m/s

Hence the speed of white ball 2.34 m/s

same for black ball = 2.34 m/s

Magnitude of final momentum = 2* m * v = 2*1.28*2.34 = 6 kgm/s

Final total KE = mv^2 = 1.28 *2.34^2 = 7 J

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