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الفيزياء الثانوي

How do you calculate momentum and use conservation of momentum?

كتبه وراجعه مدرّسو Studoli · آخر تحديث

الإجابة المختصرة

Momentum = mass × velocity, written p = mv, in kilogram metres per second (kg m/s). In a collision or explosion with no external forces, total momentum before equals total momentum after. Because velocity has a direction, momentum does too: give one direction a negative sign.

خطوة بخطوة

  1. Choose a positive direction.
  2. Calculate the momentum of each object before the event, using negative signs for the opposite direction.
  3. Add them to get the total momentum before.
  4. Write the total momentum after in terms of the unknown.
  5. Set before equal to after and solve.

مثال محلول

A 2 kg trolley at 3 m/s hits a stationary 1 kg trolley and they move off together

  • Before: 2 × 3 + 1 × 0 = 6 kg m/s
  • After: (2 + 1) × v = 3v
  • 3v = 6, so v = 2 m/s

أخطاء شائعة

  • Ignoring direction, so momenta that should cancel are added.
  • Forgetting to combine masses when objects stick together.
  • Confusing momentum with kinetic energy. Kinetic energy is often lost in collisions; momentum is conserved.

مفيد لـ:GCSEA LevelWAECMatric

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