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3.1a Newton's Laws and Forces

Key Terms

  • Net Force - The overall force acting on a body, when all individual forces have been considered

  • Balanced Force - When two or more forces acting in opposite directions are equal. The net force is 0

  • Unbalanced Force - When two or more forces acting in opposite directions are not equal. The net force is either positive or negative

  • Vertical Forces - Weight and reaction

  • Horizontal Forces - Friction and air resistance

  • Weight - the force on a body, exerted by the earth's attraction

    -  drawn from the centre of mass down

  • Reaction - opposes weight, like in Newton's third law

  • drawn upwards from every point in contact with the floor

  • if weight > reaction, movement = downwards

  • if weight < reaction, movement = upwards

  • Air Resistance - the force acting in the opposite direction of the motion of a body travelling through the air

    • arrow is drawn from the centre of mass, backwards

  • Friction - the force acting in the opposite direction to the movement of one surface over another

  • the arrow is drawn forwards from all points in contact with the floor

  • if friction > air resistance, movement = accelerating

  • if friction < air resistance, movement = decelerating

  • Momentum - the quantity of motion possessed by a moving body

    • Mass X Velocity

  • Acceleration - the rate of change of velocity

  • Force - a push or pull that alters the state of motion of a body

  • Inertia - resistance of a body to a change in motion - will remain stationary or travelling at a consistent velocity

  • Velocity - the rate of change of displacement

Newton's Laws Of Motion

Newton's First Law - The Law of Inertia

  • An object will remain at a state of rest or uniform velocity unless acted upon by an external or unbalanced force

  • A sprinter will remain in the starting blocks until a force acts upon it to overcome its inertia

  • The greater the mass of the sprinter, the greater the force needed to accelerate out the blocks

Newton's Second Law - The Law of Acceleration

  • A body's rate of change in motion is proportional to the size of the force applied, and acts in the same direction of the force applied

  • A sprinter in the starting blocks will accelerate out of the blocks at a greater rate if they push off with a greater force (due to the greater change of momentum)

Newton's Third Law - The Law of Reaction

  • For every action there is an equal and opposite reaction force

  • The sprinter will apply the downwards and backwards force in the blocks, and the blocks will provide an equal and opposite upwards and forwards reaction force

Forces

  • Separated into internal and external

  • Internal = contraction of the skeletal muscle - the quadriceps will contract to cause the knee to extend

  • External = outside the body - weight, friction, reaction, and air resistance

Force has 5 effects on the body:

  • Create motion

    • a ball will remain at rest until a force is applied

    • a sprinter will remain still until a force is applied to cause them to move

  • Accelerate a body

    • the greater the force of the foot kicking the ball, the greater the acceleration of the ball

    • the greater the force from a javelin thrower's shoulder, the greater the acceleration of the javelin

  • Decelerate a body

    • as a ball moves through the air, air resistance will act the opposite way and slow it

    • air resistance will slow a javelin and decrease the distance it travels

  • Force can change the direction of a body

    • when a goalkeeper's hand touches the ball, the force will cause the direction of the ball to change

  • Force can change the shape of a body

    • a ball touches a net, and the force from the ball will change the shape of the net

A force can be generated and have no effect

Net Force

  • the sum of all forces acting on a body - resultant force

  • net force 0 = no change in motion - balanced forces

  • if net force is present, the forces are unbalanced so there is a change in motion

    • two forces opposite in direction and unequal in size

Vertical Forces

Weight

  • gravitational pull that the earth exerts on a body

  • Weight = mass x acceleration due to gravity

  • measured in Newtons

Reaction

  • the equal and opposite force exerted in a body in response to the action force placed upon it

  • result of Newton’s third law and is always present when two bodies are in contact

  • measured in Newtons

Horizontal Forces

Friction

  • opposes the motion of two surfaces in contact

  • measured in Newtons

Factor affecting friction

Example

Athletes run on rough, rubberised tracks

Athletes wear spike shoes

F1 drivers have a warm up lap

Size of normal reaction

Shot putters have a higher mass and so a higher reaction force

Air Resistance

Factor affecting air resistance

Example

Velocity

increased velocity of a cyclist increases the air resistance opposing their motion

Shape

cyclists wear a helmet in an aerofoil shape to streamline them

Frontal cross sectional area

the low crouched position of a downhill skier reduces air resistance

Smoothness of the surface

increased smoothness from lycra suit reduces air resistance

Calculations

Velocity - Velocity = displacement/ time taken

  • velocity = m/s

  • displacement = m

  • time = s

Momentum - Momentum = mass X velocity

  • momentum = kgm/s

  • mass = kg

  • velocity = m/s

Acceleration - Acceleration = (final velocity - initial velocity)/ time taken

  • acceleration = m/s/s

  • change in velocity = m/s

  • time = s

Force - Force = mass X acceleration

  • force = N

  • mass = kg

  • acceleration = m/s/s

Free Body Diagrams

Weight = from CoM vertically downwards

Reaction = from point of contact directly upwards

Friction = from point of contact extending horizontally in the direction of motion

Air Resistance = from CoM horizontally in the direction opposing motion