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Law of Conservation of Momentum

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eMusic Study Pack β€’ Physics
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πŸ“– Comprehensive Note

Conservation of Momentum: The law of conservation of momentum states that the total momentum of a system remains constant provided no external force acts on the system.

Key Points:

  • Momentum is a vector quantity calculated as mass Γ— velocity (p = mv).
  • In an isolated system (no external forces), total momentum before and after an interaction is the same.
  • Internal forces between bodies can transfer momentum within the system but do not change the total momentum.
  • This law applies to all types of collisions: elastic and inelastic.
  • Mathematical expression for two bodies: m₁u₁ + mβ‚‚uβ‚‚ = m₁v₁ + mβ‚‚vβ‚‚.
  • It is a fundamental principle in physics for understanding motion and interactions.

Example: When two ice skaters push off each other on frictionless ice, the momentum lost by one is gained by the other, keeping total momentum constant.

🎀 Lyrics

The law of conservation of momentum states that the total momentum of a system remains constant provided no external force acts on the system.
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πŸ“˜ Line-by-Line Study Guide

Lyric Line Explanation
The law of conservation of momentum states that the total momentum of a system remains constant Defines the law and its key principle: total momentum does not change if no external force acts.
Provided no external force acts on the system Specifies the condition: the system must be isolated, with no outside forces influencing it.

🧠 Mnemonics

C.O.M – Conservation Of Momentum

  • C – Constant total momentum in an isolated system
  • O – Only changes if external forces act
  • M – Momentum is mass Γ— velocity

Tip: Remember β€œMomentum Moves, Nothing Changes” to recall that total momentum stays constant if no external force acts.

❓ Quiz

1. What does the law of conservation of momentum state?

2. Momentum is calculated as?

3. Which force can change the total momentum of a system?

4. In a two-body collision, total momentum after collision is?

5. Momentum is a?

πŸƒ Flashcards

What is the law of conservation of momentum?
The total momentum of a system remains constant if no external force acts.
How is momentum calculated?
Momentum = Mass Γ— Velocity (p = mv)
Does internal force change total momentum?
No, internal forces only transfer momentum within the system.
Is momentum a scalar or vector quantity?
Momentum is a vector quantity; it has magnitude and direction.
Write the formula for a two-body collision.
m₁u₁ + mβ‚‚uβ‚‚ = m₁v₁ + mβ‚‚vβ‚‚

🎯 Drag & Drop

Drag each item to the correct category:

Applies to Conservation of Momentum
Not Related
m₁u₁ + mβ‚‚uβ‚‚ = m₁v₁ + mβ‚‚vβ‚‚
Momentum is a vector quantity
Total momentum of system is constant if no external force
Friction on a bicycle
Internal forces transfer momentum within system

πŸ“Œ Summary

  • Momentum is a vector quantity, calculated as mass Γ— velocity (p = mv).
  • The law of conservation of momentum states that the total momentum of a system remains constant if no external forces act.
  • Internal forces only transfer momentum within the system; they do not change total momentum.
  • Mathematical expression for two-body collisions: m₁u₁ + mβ‚‚uβ‚‚ = m₁v₁ + mβ‚‚vβ‚‚.
  • The law applies to all types of collisions: elastic and inelastic.
  • Useful in analyzing motion, collisions, and interactions in physics problems.