A white billiard ball with mass m w = 1.56 kg is moving directly to the right wi

Question

A white billiard ball with mass mw = 1.56 kg is moving directly to the right with a speed of v = 3.38 m/s and collides elastically with a black billiard ball with the same mass mb = 1.56 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 = 69° and the black ball ends up moving at an angle below the horizontal of b = 21°.

1)

What is the final speed of the white ball?

m/s

2)

What is the final speed of the black ball?

m/s

3)

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

kg-m/s

4)

What is the final total energy of the system?

Explanation / Answer

(1)

the final speed of the white ball

v1 = u1 cos theta1

=3.38 * cos 69

=1.21 m/s

(b)

the final speed of the black ball is

v2 = u1 sin theta1

= 3.38 sin 69

=3.15 m/s

(c)

Total momnetum is conserved

P = mw uw = 1.56 ( 3.38) = 5.2728 kg m/s

(c)

Ew = 1/2* mw uw^2 = 1/2 * ( 1.56 ( 3.38)^2 = 8.91 J

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