AQA · GCSE · Combined Science

    Course version: 8464 · Version from Sept 2018

    Gravitational field strength, g, in newtons per kilogram, N/kg (In any…

    Full specification wording

    Gravity: gravitational field strength, g, in newtons per kilogram, N/kg (In any calculation the value of the gravitational field strength (g) will be given.)

    Gravitational field strength, g, is the force in newtons acting on each kilogram of mass, so its unit is newtons per kilogram (N/kg or N kg⁻¹).

    Checked against the AQA 8464 specification (opens in a new tab) on .

    • Point 8 of 11
    • 4 key terms

    Study notes

    From the checked teaching notes for this specification point.

    The idea

    Gravitational field strength, g, is the force in newtons acting on each kilogram of mass, so its unit is newtons per kilogram (N/kg or N kg⁻¹). On Earth g is about 9.8 N/kg, on the Moon about 1.6 N/kg, so the same 10 kg object weighs about 98 N on Earth but only 16 N on the Moon. In the equation W = m × g, g tells you the weight per unit mass. In any calculation the value of g will be given in the question, so read it carefully and use the stated value rather than assuming 9.8 N/kg.

    For example: With m = 5 kg and g = 1.6 N/kg, W = 5 × 1.6 = 8 N. Always write the unit N/kg with the value and check that the weight answer is in newtons.

    What earns the marks

    • State that gravitational field strength is measured in newtons per kilogram (N/kg).
    • Explain that g represents the weight in newtons acting on each kilogram of mass.
    • Use the value of g supplied in the question when substituting into W = m × g.
    • Recognise that g differs between planets and moons, so weight changes while mass stays constant.
    • Calculate weight by multiplying mass in kg by the given g and give the answer in newtons.

    Common mistakes and how to put them right

    • Assuming g is always 9.8 N/kg when the question supplies a different value.

      Put it right by using the value printed in the question.

    • Writing the unit as Nkg or N/kg⁻¹ incorrectly.

      Put it right: The accepted forms are N/kg or N kg⁻¹.

    • Multiplying mass by g but giving the answer in kg or N/kg.

      Put it right by stating the weight in newtons.

    Exam tips

    • Highlight the value of g given in the question and copy it exactly into your working.
    • Show the equation W = m × g, then substitute the numbers, so the method is visible.
    • Check the unit of your final answer: weight must be in newtons, not kilograms.

    Try the lesson

    The start of the Gravity: gravitational field strength, g, in newtons per kilogram, N/kg (In any calculation the value of the gravitational field strength (g) will be given.) lesson, made from checked teaching notes for this specification point.

    Have a go first

    A pupil is told that the gravitational field strength on the Moon is 1.6 N/kg. What does the unit N/kg mean?

    Listen

    Gravitational field strength, g, is the force in newtons acting on each kilogram of mass, so its unit is newtons per kilogram (N/kg or N kg⁻¹). On Earth g is about 9.8 N/kg, on the Moon about 1.6 N/kg, so the same 10 kg object weighs about 98 N on Earth but only 16 N on the Moon. In the equation W = m × g, g tells you the weight per unit mass. In any calculation the value of g will be given in the question, so read it carefully and use the stated value rather than assuming 9.8 N/kg. For example, with m = 5 kg and g = 1.6 N/kg, W = 5 × 1.6 = 8 N. Always write the unit N/kg with the value and check that the weight answer is in newtons. A strong answer earns marks for these points. State that gravitational field strength is measured in newtons per kilogram (N/kg). Explain that g represents the weight in newtons acting on each kilogram of mass. Use the value of g supplied in the question when substituting into W = m × g. Recognise that g differs between planets and moons, so weight changes while mass stays constant. A common slip: Assuming g is always 9.8 N/kg when the question supplies a different value. Instead, using the value printed in the question. Exam tip: Highlight the value of g given in the question and copy it exactly into your working.

    See it

    A top-down flowchart. The top node reads 'Gravitational field strength, g'. Four arrows lead from it. The first goes to 'Measured in newtons per kilogram, N/kg'. The second goes to 'Weight in newtons acting on each kilogram of mass'. The third goes to 'Use the value of g given in the question', which leads to 'W = m × g', then to 'Substitute mass in kg and the given g', then to 'Weight answer in newtons'. The fourth goes to 'g differs between planets and moons', which leads to 'Weight changes while mass stays constant'.
    It shows what gravitational field strength is, its unit, how it is used in W = m × g to give weight in newtons, and that g differing between planets and moons changes weight while mass stays constant.

    Key words

    Say what each word means before you turn the card.

    Gravity and weight

    Try answering aloud or in your head before turning the card.

    Units and measurement

    Try answering aloud or in your head before turning the card.

    Proportional reasoning

    Try answering aloud or in your head before turning the card.

    Planetary comparisons

    Try answering aloud or in your head before turning the card.

    See every definition
    Gravity and weight
    Gravitational field strength, g, is the force in newtons acting on each kilogram of mass.
    Units and measurement
    Its unit is newtons per kilogram, written as N/kg or N kg⁻¹.
    Proportional reasoning
    In the equation W = m × g, g tells you the weight per unit mass.
    Planetary comparisons
    g differs between planets and moons, so weight changes while mass stays constant.

    Label the diagram

    Some boxes have lost their names. Pick the right name for each number.

    The diagram again, with 3 boxes numbered instead of named. A top-down flowchart. The top node reads 'Gravitational field strength, g'. Four arrows lead from it. The first goes to 'Measured in newtons per kilogram, N/kg'. The second goes to 'Weight in newtons acting on each kilogram of mass'. The third goes to 'Use the value of g given in the question', which leads to 'W = m × g', then to 'Substitute mass in kg and the given g', then to 'Weight answer in newtons'. The fourth goes to 'g differs between planets and moons', which leads to 'Weight changes while mass stays constant'.
    • 1Box 1

    • 2Box 2

    • 3Box 3

    0 of 3 labelled

    There is more to this lesson

    The full lesson goes on to check your understanding and help you earn the marks. Create a free account to carry on, with your progress saved.

    Carry on with the full lesson

    A week of Premium from your first lesson · Then the free plan continues · No card, no charge

    Test your understanding of Gravity: gravitational field strength, g, in newtons per kilogram, N/kg (In any calculation the value of the gravitational field strength (g) will be given.)

    Active recall beats re-reading. Take an instant quiz now to test what you’ve learned and lock it into long-term memory.

    Take topic quiz

    A week of Premium from your first lesson · Then the free plan continues · No card, no charge