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den301095 [7]
2 years ago
8

A cue ball of inertia m is given a speed v before it collides elastically with a full rack of 15 stationary balls in a game of p

ool. Each of the 16 balls has an inertia m.
Physics
1 answer:
Stels [109]2 years ago
7 0

The final speed of the 15 stationary balls in a game of pool is determined as the ratio of inertia of the cue ball to total mass of the 15 balls.

<h3>Final speed of the 15 balls</h3>

The  final speed of the 15 balls can be determined by applying the principle of conservation of linear momentum as shown below;

J = ΔP

where;

  • J is inertia
  • ΔP is change in momentum

m1u1 + m0u0 = m1v1 + m0v0

where;

  • m1 is mass of the cue ball
  • m0 is mass of the 15 balls
  • u is initial velocity
  • v is final velocity

m1u1 - 0 = m1v1 + 15mv0

m1u1  - m1v1 = 15mv0 - 0

recall, m1u1  - m1v1  = ΔP = J

-m = 15m0v0

v0 = -m/15m0

where;

  • v0 is the final speed of the 15 balls
  • 15m0 is the total mass of the 15 balls
  • m is the inertia of the cue ball

Thus, the final speed of the 15 stationary balls in a game of pool is determined as the ratio of inertia of the cue ball to total mass of the 15 balls.

Learn more about linear momentum here: brainly.com/question/7538238

#SPJ1

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This question is in complete.The question is

A coin with a diameter 3.00 cm rolls up a 30.0° inclined plane. The coin starts out with an initial angular speed of 60.0 rad/s and rolls in a straight line without slipping. If the moment of inertia of the coin is(1/2) MR² , how far will the coin roll up the inclined plane (length along the ramp)? Hint: Conservation of mechanical energy.

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