Gravitational field

Physics A2 · Gravitational fields. The idea in plain words, the rules to remember, the mistake to avoid and a worked example, written and checked by Mega Lecture.

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The idea

A gravitational field is a region of space where a mass experiences a force. It is one example of a field of force. Every mass creates such a field around itself, and the force it gives is always attractive.

The gravitational field strength g at a point is the force per unit mass on a small test mass placed there. It is a vector, in the direction of the force on the mass.

Fields are drawn with field lines. The arrows show the direction of the force on a mass. Where the lines are closer together the field is stronger. Around a planet the lines are radial and point inwards. Near the surface, over a small region, they are parallel and equally spaced: a uniform field.

Rules to remember

Common mistake

Students mix up field strength (force per unit mass, N kg−1) with potential (work done per unit mass, J kg−1). Read the definition for the words 'force' or 'work done'.

Worked example

On the surface of a planet a 0.50 kg mass experiences a gravitational force of 4.45 N. What is the weight of a 70 kg person there?

  1. Field strength: g = F/m = 4.45 ÷ 0.50 = 8.9 N kg−1.
  2. The field strength at a point is the same for any mass placed there.
  3. Weight: F = mg = 70 × 8.9 = 623 N.

Answer: About 620 N.

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