1. Mass, Weight, and Gravity
In physics, it's crucial to distinguish between mass and weight. Mass is the amount of 'stuff' or matter an object is made of, and it is measured in kilograms (kg). Your mass is the same whether you are on Earth, the Moon, or floating in space. Weight, however, is a force. It is the force of gravity pulling on an object's mass. It is measured in newtons (N). Your weight depends on where you are. On a planet with stronger gravity, you would weigh more. The link between mass and weight is an object's gravitational field strength, represented by 'g'. On Earth, g is approximately 9.8 N/kg, which we often round to 10 N/kg for simpler calculations. This means every kilogram of mass is pulled down by a force of about 10 newtons.
Weight = mass × gravitational field strength
W = m × g
Key term
Examiner insight
Common pitfall
Worked example 14 marks
An astronaut has a mass of 75 kg. The gravitational field strength on Earth is 10 N/kg, and on Mars it is 3.7 N/kg.(a) Calculate the astronaut's weight on Earth.(b) Calculate the astronaut's weight on Mars.(c) What is the astronaut's mass on Mars?
- 1
(a) Use the formula W = m × g. On Earth: W = 75 kg × 10 N/kg = 750 N.
- 2
(b) Use the same formula with Mars' gravitational field strength. On Mars: W = 75 kg × 3.7 N/kg = 277.5 N.
- 3
(c) Mass is the amount of matter in an object and does not change with location. The astronaut's mass on Mars is still 75 kg.
Recap
- Mass is the amount of matter in an object, measured in kilograms (kg).
- Weight is the force of gravity on an object, measured in newtons (N).
- Mass is constant everywhere, but weight changes depending on the gravitational field strength.
- The formula linking weight and mass is W = m × g.
- On Earth, g is approximately 10 N/kg.
Quick check
- What is the weight of a 12 kg object on Earth? (Use g = 10 N/kg)1 mark
- If an object has a weight of 50 N on Earth, what is its mass?1 mark