IGCSE 0625 / Section 1.3 / Core

The same matter, a different pull.

Take a 2 kg bag to the Moon and it is still 2 kg of matter. But it weighs about six times less, because weight is the pull of gravity, and the Moon pulls more gently. Mass and weight are not the same quantity, and the exam rewards keeping them strictly apart.

The key idea

Mass is the amount of matter in an object, measured in kilograms, and is the same everywhere. Weight is the gravitational force on the object, measured in newtons, and is found from W = mg, where g is the gravitational field strength in N/kg.

Section 01

Same mass, different weight.

Switch worlds and watch the two instruments. The spring balance (measuring weight) stretches as gravity changes. But the beam balance (measuring mass) stays level, because the change in gravity pulls equally on both the object and the reference brass weights.

Stage 1 · Learn

Check mass against weight

Four quick checks on the distinction and W = mg. Each correct answer earns XP and lights this skill on your star map.

Quick check+10 XP

Mass is measured in kilograms, and weight is measured in...

Quick check+10 XP

An astronaut takes a tool to the Moon. Compared with Earth, on the Moon the tool has...

Quick check+10 XP

The weight of an object is calculated from...

Quick check+10 XP

Mass is best described as...

Section 02

Telling them apart.

 MassWeight
What it isthe amount of matterthe gravitational force on the object
Unitkilogram (kg)newton (N)
Typescalarvector (acts downward)
Changes with location?no, same everywhereyes, depends on g
Measured witha beam balancea spring balance (force meter)

Gravitational field strength g is the weight per unit mass, g = W / m, measured in N/kg. On Earth it is about 9.8 N/kg. Notice this is numerically the same as the acceleration of free fall, about 9.8 m/s².

Examiner trap

The most common error here is using mass where a force is needed. If a question asks for a force, such as the weight, the answer must be in newtons, found with W = mg. Saying an object weighs 5 kg mixes the two up: 5 kg is its mass, and its weight would be about 49 N on Earth. In any equation that needs weight, substitute mg, not the mass.

Worked example

A rock has a mass of 6.0 kg. Taking g = 9.8 N/kg on Earth and g = 1.6 N/kg on the Moon, find its weight in each place and state its mass on the Moon.

Step 1 · Weight on EarthW = m g = 6.0 × 9.8 = 58.8 N
Step 2 · Weight on the MoonW = m g = 6.0 × 1.6 = 9.6 N
Step 3 · Mass on the MoonThe mass is still 6.0 kg. Mass does not change with location; only the weight does.
Stage 2 · Exam

Exam-style questions

Unlocks once the four checks above are done. Worth more XP, written in the style of Paper 1.

Finish the four checks above to unlock the exam questions
Exam style+20 XP

A 4.0 kg object rests on Earth, where g = 9.8 N/kg. Its weight is...

Exam style+20 XP

A student writes that a box weighs 5 kg. The correct statement is that...

Exam style+20 XP

A fixed mass is taken to several planets. Its weight is largest on the planet with the...

Skill unlocked

Mass and weight, mastered.

This skill is now lit gold on your star map. Keep the chain going.

-Rank -Level -Score -Topics
Go deeper · practice
Six original Cambridge-style questions
The mass-versus-weight distinction and its units, the W = mg calculation, weight on different worlds, and the classic weighs-in-kilograms error. Attempt each, then reveal the worked solution.
Stage 3 · master the unit
Motion, forces and energy challenge
Mixed questions across the whole unit, each one worth XP. Start this only when you feel confident across every topic in the unit, not just mass and weight.
Start the unit challenge →