Please show work and do not round answers!: A white billiard ball with mass mw =
ID: 1475769 • Letter: P
Question
Please show work and do not round answers!: A white billiard ball with mass mw = 1.34 kg is moving directly to the right with a speed of v = 3 m/s and collides elastically with a black billiard ball with the same mass mb = 1.34 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 = 34° and the black ball ends up moving at an angle below the horizontal of b = 56°.
1) What is the magnitude of the final total momentum of the system?
2) What is the final total energy of the system?
Explanation / Answer
part 1:
as there is no external force present and the collision is elastic, both momentum and energy will be conserved.
hence final total momentum of the system=initial total momentum of the system
=mw*v=1.34*3=4.02 kg.m/s
part 2:
as the total energy is conserved,
final total energy of the system=initial total energy of the system
=0.5*1.34*3^2+0.5*1.34*0^2
=6.03 J