Unit 3, lesson 13. About 12 minutes.

Mass vs weight

Could you jump higher on the Moon, even though you are still just as big?

Play

Getting the experiment ready…

Explain

You are still you on the Moon.

But you would feel very light.

Mass is how much stuff is in you. It stays the same wherever you go.

Weight is the force of gravity pulling on you. It changes depending on where you are.

The Moon has weaker gravity than Earth, so you would weigh about a sixth as much.

Mass is measured in kilograms. Weight is a force, so it is measured in newtons.

W = m × g, where g is the gravitational field strength in N/kg.

Worked example: a 30 kg child on Mars weighs 30 × 3.7 = 111 N. On Earth they weigh 30 × 9.8 = 294 N.

  1. Mass stays the same
  2. Gravity changes by world
  3. Weight changes with it
Want the full story?

Bathroom scales are marked in kilograms, but they really measure force and then divide by 9.8. On the Moon, they would give the wrong mass. In everyday speech, people say weight when they mean mass. Jupiter has no solid ground, so its value is for the tops of its clouds.

The Formula

weight = mass × gravity

W=m×gW = m \times g
WW
the weight, which is a force, measured in newtons (N)
mm
the mass, measured in kilograms (kg)
gg
the strength of gravity where you are, measured in newtons per kilogram (N/kg)

Try the numbers

Weight: 294 N

Try it at home

You need bathroom scales, a calculator.

You need: bathroom scales, a calculator.

Stand on scales. Now pretend you are on the Moon!

  1. Find your mass in kilograms.
  2. Multiply by 9.8 to get your weight on Earth.
  3. Multiply your mass by 1.6 for the Moon, and 24.8 for Jupiter.

What's happening: your mass stays the same, so your weight only depends on the world you are standing on.

Physics is life

Your body

Your legs carry your weight.

Astronauts lose muscle and bone in orbit, because they barely use them against gravity.

Daily life

Shops sell food by mass.

A bag of sugar has the same mass everywhere, even if it would feel lighter on the Moon.

Nature

Whales are held up by water.

Blue whales can grow so huge because water supports their weight.

Space

You would feel light on the Moon.

Apollo astronauts bounded across the Moon because their weight was only a sixth of its usual value.

Quick check

Question 1 of 3

What happens to your mass on the Moon?

Words to know

Weight: The force of gravity pulling on you. It is measured in newtons.

Weight
The force of gravity pulling on you. It is measured in newtons.
Mass
How much stuff is in an object. It is measured in kilograms.
Gravity
The pull between all things that have mass.

Next up

Galileo's falling objects