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A billiard ball moves with 3 kg⋅m/s of momentum and strikes three other billiard balls. What is the total momentum of the balls after the collision? A. less than 3 kg⋅m/s B. It depends on the mass of each ball. C. 3 kg⋅m/s D. more than 3 kg⋅m/s

Respuesta :

Answer:

It should be C

Explanation:

It depends on the mass of each ball

Remember the formula for momentum, mass X velocity

Momentum depends on the mass of the object

Lanuel

The momentum of the billiard balls after the collision is 3 Kgm/s.

  • Let the billiard ball be B.

Given the following data:

  • Momentum B = 3 Kgm/s

To find the momentum of the balls after the collision:

Momentum is simply a multiplication (product) of the mass of an object with its velocity.  Also, momentum is a vector quantity because it has both magnitude and direction.

Mathematically, momentum is given by the formula;

[tex]Momentum = Mass[/tex] × [tex]Velocity[/tex]

[tex]Total \; momentum = Momentum \; B + Momentum \;of \;the \;other\; balls.[/tex]

Since the other billiard balls were at rest (not experience any motion), there velocities would be zero (0) m/s.

Substituting the values, we have:

[tex]Total \; Momentum = 3 + 0[/tex]

Total momentum = 3 Kgm/s.

Therefore, the momentum of the billiard balls after the collision is 3 Kgm/s.

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