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Physics 0625 Exam technique 6 min read Free

Why you keep mixing up mass and weight

Mass is how much matter an object has, in kilograms. Weight is the pull of gravity on it, in newtons. Here is why they blur, and how to keep them apart.

On this page
  1. The symptom
  2. The causes
  3. The fix
  4. Before and after
  5. Check yourself
  6. Where to go next
Start here

The symptom

You can recite both definitions. Then a question asks for a weight, and your answer comes out in kilograms. Or a mass appears in a pressure question, and it goes straight into the equation as a force.

Each slip costs a mark. On a multi-step question it can cost more, because every later line inherits the error. The Glide Physics notes list it as a common way to lose marks in this topic.

The 0625 syllabus keeps the two ideas apart. Mass is a measure of the quantity of matter in an object. Weight is a gravitational force on an object that has mass. One is an amount of stuff; the other is a pull.

A quick test
Ask whether the quantity acts in a direction. Weight always pulls, towards the centre of the Earth. An amount of matter has no direction, so mass does not.
Diagnose it

Six reasons mass and weight get mixed up

Most mix-ups come from one of these habits. Check your last marked test against the list.

Everyday language
People say “I weigh 60 kg”. In Physics that sentence gives a mass. The habit follows you into the exam unless you correct it on purpose.
Scales that show kilograms
Bathroom and kitchen scales display kg, so weight and mass feel like the same thing. A scale actually measures the force pressing down on it, then shows it in kg using Earth’s g. On the Moon the same scale would read far less, though your mass has not changed.
The wrong unit
Writing “weight = 6 kg” or “mass = 50 N” loses the mark even when the number is right. Mass is in kg; weight is in N.
Thinking mass changes on the Moon
An astronaut has the same mass on the Moon as on Earth. Only her weight is smaller, because the gravitational field there is weaker.
Using a mass as a force
Pressure, work done and moments all need a force in newtons. Putting 60 kg straight into p = F ÷ A gives the wrong answer and the wrong unit.
Grams left as grams
W = m × g needs the mass in kg. A 250 g apple goes in as 0.25 kg, which gives a weight of 2.45 N, not 2 450 N.
The method

The fix: six habits that keep them apart

Use these on every question that mentions mass, weight or gravity. They take seconds once they are routine.

  1. Ask what the quantity is

    Is it an amount of matter, or a pull of gravity? An amount is a mass, in kg. A pull is a weight, in N.

  2. Label every value with its unit

    Write “m = 75 kg” or “W = 735 N”, never a bare number. The unit tells you which quantity you are holding.

  3. Convert with one equation

    Use W = m × g to go from mass to weight. Rearrange it to m = W ÷ g to go back. Change grams to kilograms first.

    Tip. The syllabus defines g as force per unit mass, g = W ÷ m. It is the same equation, rearranged.
  4. Use the g the question gives

    Near the Earth’s surface g is about 9.8 N/kg. If a question gives another value, such as 10 N/kg or a value for the Moon, use that one.

  5. Turn mass into weight before using it as a force

    When an equation needs F, and the question gives a mass, write the line W = m × g first. That line can earn a method mark even if a later step goes wrong.

  6. Check the final unit

    A weight must end in N and a mass in kg. If the unit does not match the quantity, go back to step 1.

For Extended (Supplement) candidates there is one more check. Mass is a scalar: it has size only. Weight is a vector: it has size and a direction, towards the centre of the Earth or other body.

See it in action

Before and after: the same answer, fixed

Here is an original question on mass and weight, first with a typical weak answer, then with a full-mark one.

Before: a typical answer
“On the Moon gravity is six times weaker, so her mass is 75 ÷ 6 = 12.5 kg. Her weight is 12.5 kg.”

Both parts go wrong. Her mass has not changed, because she has not lost any matter. And the weight is given in kilograms, so it is not a force at all. Against the three mark points below, it scores nothing.

After · mass and weight on the Moon[3 marks]

An astronaut has a mass of 75 kg on Earth. The gravitational field strength on the Moon is 1.6 N/kg. State her mass on the Moon and calculate her weight there.

m = 75 kgg on the Moon = 1.6 N/kgFind: mass and W on the Moon
Mark 1
Mass on the Moon = 75 kg. Mass is the quantity of matter, which does not depend on where she is.
Mass unchanged, with a reason
Mark 2
W = m × g = 75 × 1.6
Correct equation and substitution
Mark 3
W = 120 N
Answer with the unit N
Mass = 75 kg · Weight on the Moon = 120 N
Mark split is our own illustration of how a mark scheme typically rewards each stage, not taken from a real paper.

Look at what changed. The mass stays in kilograms and keeps its value. The weight is worked out with W = m × g and ends in newtons. For comparison, on Earth she weighs 75 × 9.8 = 735 N.

The same slip in a pressure question
A box of mass 60 kg rests on a base of area 0.40 m². Taking g = 9.8 N/kg, its weight is 60 × 9.8 = 588 N. So the pressure is 588 ÷ 0.40 = 1 470 Pa. Skip the weight line and you get 150, which is not a pressure.
Your turn

Check yourself

Use the six habits on this question. Label each value with its unit before you calculate.

Try it yourselfOriginal question · 3 marks

A rock sample has a weight of 4.9 N on Earth, where g = 9.8 N/kg. Calculate its mass. Then calculate its weight on Mars, where g = 3.7 N/kg.

Show the answer
m = W ÷ g = 4.9 ÷ 9.8 = 0.50 kg
The mass is the same on Mars: 0.50 kg
W on Mars = m × g = 0.50 × 3.7 = 1.85 N (1.9 N to 2 significant figures)

The mass ends in kg and both weights end in N. The weight changed; the mass did not.
Keep going

Where to go next

Mass and weight is one section of the Motion, forces and energy chapter.
Density, pressure, moments and energy all build on it, each with worked examples and exam advice.