Momentum — Science definition

The 'quantity of motion' of an object, p = mv; a vector measured in kilogram-metres per second (kg·m/s).

Where it is taught

In use

Momentum is an object's 'quantity of motion,' defined simply as p = mv — mass times velocity.

Momentum & Collisions

Questions using momentum

Problem 1

Find the momentum of a 0.50 kg ball moving at 4.0 m/s.
Answer and explanation

2 kg·m/s

p = mv = 0.50 × 4.0 = 2.0 kg·m/s.

Problem 2

Explain the following claim and supply a valid example or counterexample: Momentum conservation does not automatically imply kinetic-energy conservation.
Answer and explanation

Initialp=6 kg·m/s, totalm=3 kg, so vf=2 m/s with negligible external impulse. Momentum conservation does not automatically imply kinetic-energy conservation.

Response criteria

  • State a scientifically accurate conclusion.
  • Show the calculation or mechanism that supports it.
  • Include units, conditions, or limits where relevant.

Problem 3

Find the momentum of a 6.0 kg object moving at 3.0 m/s.
Answer and explanation

18 kg·m/s

p = mv = 6.0 × 3.0 = 18 kg·m/s.

Problem 4

Find the momentum of a 0.20 kg ball moving at 30 m/s.
Answer and explanation

6 kg·m/s

p = mv = 0.20 × 30 = 6.0 kg·m/s.

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