Impulse and Momentum - Topic 2.4

Bite-sized Impulse & Momentum Study Notes for IB Physics HL/SL 

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Table of Contents

Key point

  • The net force is the rate of change of momentum

Linear Momentum is defined as the product of an object’s mass and velocity.

  • Linear Momentum = P
  • Linear Momentum is directly proportional to the object’s mass and velocity. 
  • Momentum is a vector and has a direction of the velocity
  • Units: kgm/s or Ns

Formula Booklet

Linear Momentum Equation/Formula IB

Formula Booklet

Average Net Force Equation/Formula IB

The average net force on a system is equal to the rate of change of the momentum of the system. 

  • Understand the connection to newton’s second law of motion

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Key point

  • Impulse is a change in momentum

Impulse is defined as the certain amount of force you apply at a given time interval. 

  • Impulse is a vector quantity (direction is that of the force)
  • Unit: Ns (Newton-second)
  • Area under a force-time graph = impulse
  • Impulse is sometimes denoted by J

Not in Formula Booklet but important

impulse

Key point

  • If the net force is 0, then the momentum doesn’t change

Conservation of Momentum states that if the net force on a system is 0, then the momentum doesn’t change either. Thus it is conserved.

  • If Fnet = 0, then Δp = 0
  • Thus there is no change in momentum
  • Conserved means ‘constant’ or ‘not changing’

Formula Booklet

Average Net Force Equation/Formula IB

Key points

  • Kinetic Energy is conserved – elastic collision
  • Kinetic Energy is not conversed – inelastic collision

In a collision or explosion, Kinetic Energy may or may not be conserved. 

  • The total momentum is always conserved (conservation of momentum) 
  • Through substitution one can obtain following equation:

Formula Booklet

Kinetic Energy and Momentum

When Kinetic Energy is conserved, then the collision is elastic.

  • Final velocity and mass is the same as initial velocity and mass
  • Remember that certain assumptions must be made in order for elastic collisions to occur

When Kinetic Energy is not conserved, then the collision is inelastic.

  • The final velocity is different from the initial velocity
  • When both bodies stick together, then the collision is totally/perfectly inelastic
  • In reality most collisions are inelastic

Worksheets

SL Paper 1

Worksheet with Answers

HL Paper 2

Worksheet with Answers

PPT

Impulse and Momentum PPT

Power Point Presentation

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