Contact and Non-Contact Forces

Brook Edgar & Hannah Shuter

Teachers

Brook Edgar Hannah Shuter

Explainer Video

Contact & Non-Contact Forces

Forces can be divided into contact and non-contact forces.

Contact forces act between objects that are physically touching, for example:

  • Friction - Opposes motion between surfaces

  • Air resistance/Drag - A frictional force acting against motion through a fluid

  • Normal reaction force - acts perpendicular to a surface

  • Tension - exists in ropes, cables or strings

Non-Contact forces act between objects that are are not touching. Examples include:

  • Gravity - the attraction between masses

  • Electrostatic forces - exist between charged objects

  • Magnetic forces - occur between magnets or magnetic materials

Scalars and Vectors

Forces are an example of a vector quantity - this means they have both a magnitude (size) and a direction. Examples of a vector quantity include:

  • Velocity

  • Force

  • Acceleration

The opposite of a vector is a scalar quantity, these only have magnitude. Examples of a scalar quantity include:

  • Speed

  • Distance

  • Mass

  • Time

Worked example

Which statement is true?

Gravity is a contact force.

Gravity is a force that acts on objects with mass.

Weight is the downwards force of gravity measured in kg.

Answer:

Gravity is a force that acts on objects with mass. B is correct.

This is incorrect as Gravity is a non-contact force.

This is incorrect because weight is measured in Newtons, not kg.

Worked example

Which statement is true?

Friction is a non-contact force.

Friction is a contact force that opposes motion.

Friction is measured in kg.

Answer:

Friction is a contact force that opposes motion. B is correct.

This is incorrect because friction is a contact force.

This is incorrect because friction is measured in Newtons.

Work Done

We can calculate the amount of energy transferred by a force by calculating the work done:

Formula:

Work done is the same as the energy transferred.

Example: A horse pulls a cart with a force of , and I want to find out how much energy they are transferring. I can do this by calculating the work done to pull the cart:

To find the amount of energy transferred to the cart, it would be the same as the work done, .

Note that the distance is in the direction of the force - for example if a cyclist was moving North but the wind was blowing East, the wind would not do any work on the cyclist unless they started moving in the easterly direction.

Worked Example:

Calculate the work done on the box below if it is pushed for .

Answer:

Worked Example:

If I push my car with all the force I have, but it doesn't move, am I doing any work?

If my car moves north and the wind is pushing the car east with a force of , does the wind do any work on the car?

Answer:

No, because the car doesn't move, no energy is being transferred to the car.

, where the is distance parallel to motion. The wind is acting at a right angle to the motion of the car, so the distance in the direction of the wind is . Therefore no work is being done on the car by the wind.

Worked Example:

Calculate the work done on the box below if it is pushed North for .

Answer:

The box is moving North, so we need to use the force that in that direction to calculate the work done. The force pointing Northwards is the force:

Practice Questions

A book rests on a table.

insert image

Identify one contact force and one non-contact force acting on the book.

State the difference between scalar and vector quantities.

-> Check out Brook's video explanation for more help.

Answer:

Contact: normal reaction / friction. Non-contact: weight / gravitational force.

Scalars have magnitude only; vectors have magnitude and direction.

A cyclist experiences several forces while riding up a hill.

insert image

Name two contact forces that act on the cyclist and bicycle.

Name one non-contact force acting on the cyclist.

-> Check out Brook's video explanation for more help.

Answer:

Friction (tyres on road), air resistance, normal reaction from the ground.

Weight / gravitational force.