Types of Forces - Topic 2.2

Bite-sized Work, Energy & Power Study Notes for IB Physics HL/SL 

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Table of Contents

Types of Forces

Key point

  • Forces are Vectors

All forces are vectors. The net force determines the direction of the object’s acceleration. 

  • Even if the net force is zero, there might be forces with opposing (canceling) directions
  • Always calculate all components of all forces

Key points

  • This force is always directed downward
  • It depends on the location of the object

Weight is the gravitational attraction between the mass (m) of a body and the mass of the planet it is on. 

  • The force is always directed downward
  • Like all other forces – this is a vector quantity
  • g is the acceleration due to gravity – Units: Newton per Kilogram

Not in Formula Booklet but important

Force of Weight formula

Key point

  • The force that arises when a body is stretched

Tension is the force that arises when a body is stretched

  • Contact Force
  • A tension force in a string is created when two forces are applied in opposite directions at the ends of the string
  • Tension occurs when the contact forces that exert the force are a rope, chain, string, or cable
  • Tension is a pull-force

Key point

  • A pulled string will develop tension –> bring the string back its original length

When a spring is pulled (increase in length), then a tension will develop. 

  • The tension develops because it wants to bring the string back to its original position 
  • Tension is opposite to the direction the string is pulled towards

Not in Formula Booklet but important

Hooke's Law

Hooke’s Law

  • Tension is the opposite of displacement
  • T = tension
  • k = spring constant 
  • x = displacement

Key point

  • Perpendicular to the body exerting the force

The Normal Reaction occurs when a body is in contact with another body. 

  • The normal reaction force is acting perpendicular to the two surfaces in contact
  • It’s a measure of the force that is holding both objects together
  • Notice how the table is bending downwards (microscopic level) – creating tension

Key points

  • Oppose the direction of a body
  • The area of contact between two surfaces doesn’t affect the magnitude of the frictional forces

Frictional Forces exist when there exists a contact force between two objects. 

  • Frictional Forces generally oppose the motion of a body
  • The area of contact between two surfaces doesn’t affect the magnitude or direction of the frictional force

Formula Booklet

Dynamic Friction = one body slides over another
  • Dynamic Friction does not depend on the speed of sliding
  • R = normal reaction force
  • μd = coefficient of dynamic friction
  • Acceleration is a vector quantity
Static Friction = a body wants to move but can’t due to the opposite force of static friction
  • R = normal reaction force
  • μs = coefficient of static friction
  • μs > μd

Formula Booklet

Key point

  • Shows direction and magnitude of all forces acting on a body

Free-body Diagrams show the magnitude and direction of all forces acting on a body

  • The body is shown on its own
    • Free of surroundings or any other bodies
  • The body is treated as a point particle
  • The length of arrows is proportional to the magnitude of the forces

Key points

  • When no forces act on a body, then it moves with constant velocity
  • If body A exerts a force on body B, then body B will exert an equal but opposite force on body A
  • The net force on a body of constant mass is proportional to that body’s acceleration

Newton’s second law (law of Inertia) states: When the net force on a body is zero, the body will move with constant velocity (which may be 0).

Force definition: A force is what changes a body’s velocity.

  • Inertia keeps the body in the same state of motion when no force acts on the body

Formula Booklet

Newton's second law of motion IB Equation/Formula

Newton’s second law of motion states: The net force on a body of constant mass is proportional to that body’s acceleration and is in the same direction as the acceleration.

  • Unit of force: newton (N)
  • One newton is the force required to accelerate a mass of 1kg by 1ms-2 in the direction of the force

Newton’s third law of motion: If body A exerts a force on body B, then body B will exert an equal but opposite force on body A. 

  • Those forces are known as force pairs

Key point

  • Net force on a point particle is 0

The equilibrium of a point particle means that the net force on the particle is zero. 

The net force on a particle is the one single force whose effect is the same as the combined effect of all individual forces acting on the particle

To solve for the equilibrium you need to
  • Find all vector components and add/subtract them as necessary
  • If you know Fx and Fy then use the formula on the right

Not in Formula Booklet but important

Vector Components Formula IB

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