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Calculations with weight and gravitational field strength

  • 2 things to know
  • Paper 1

Overview

The relationship between weight, mass and gravitational field strength, its rearrangements, worked examples on the Earth and a moon, and how weight and mass behave when the field strength changes.

What you need to know

Answer each one before you reveal it.

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Evaluation

Write, in words, the relationship between weight, mass and gravitational field strength.

Evaluation

How is the mass of an object found from its weight and the gravitational field strength?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    Write, in words, the relationship between weight, mass and gravitational field strength.

    Model answer

    Weight = mass × gravitational field strength.

  2. 2

    How is the mass of an object found from its weight and the gravitational field strength?

    Model answer

    Divide the weight by the gravitational field strength.

  3. 3

    How is the gravitational field strength at a place found from the weight and the mass of an object there?

    Model answer

    Divide the weight by the mass.

  4. 4

    Calculate the weight of a 5.0 kg bag on the Earth, where the gravitational field strength is 10 N/kg.

    Model answer

    50 N, because 5.0 kg × 10 N/kg = 50 N.

  5. 5

    An object weighs 250 N on the Earth, where the gravitational field strength is 10 N/kg. Calculate its mass.

    Model answer

    25 kg, because 250 N ÷ 10 N/kg = 25 kg.

  6. 6

    A rock of mass 15 kg weighs 24 N on the surface of a moon. Calculate the gravitational field strength there.

    Model answer

    1.6 N/kg, because 24 N ÷ 15 kg = 1.6 N/kg.

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