Defining gravitational field
- There is a force of attraction between all masses
- This force is known as the ‘force due to gravity’ or the weight
- The Earth’s gravitational field is responsible for the weight of all objects on Earth
- A gravitational field is an example of a field of force and is defined as:
Force per unit mass
- The direction of the gravitational field is always towards the centre of the mass
- Gravitational forces cannot be repulsive
Gravitational field strength
- The strength of this gravitational field (g) at a point is the force (Fg) per unit mass (m) of an object at that point:
- Where:
- g = gravitational field strength (N kg-1)
- Fg = force due to gravity, or weight (N)
- m = mass (kg)
- This equation tells us:
- On planets with a large value of g, the gravitational force per unit mass is greater than on planets with a smaller value of g
- This means objects will have a larger weight with a larger value of g
Weight of person on Earth and on Jupiter
A person’s weight on Jupiter would be so large a human would be unable to fully stand up
Worked example
Calculate the mass of an object with weight 10 N on Earth.
Answer:
Step 1: State the gravitational field strength equation
Step 2: Rearrange to make mass the subject
Step 3: Substitute in the known values to calculate
Examiner Tip
There is a big difference between g and G (sometimes referred to as ‘little g’ and ‘big G’ respectively), g is the gravitational field strength and G is Newton’s gravitational constant. Make sure not to use these interchangeably!