levo

Gravitational Fields

Field strength of a point mass and the uniform field near Earth

  • 3 things to know
  • Papers 1, 2 and 3

Overview

Recall questions on gravitational field strength g = −GM/r² for a point mass with calculations, why the field is approximately uniform near the Earth's surface, and why g equals the acceleration of free fall.

What you need to know

Answer each one before you reveal it.

Your recallNot started
Evaluation

State the equation for gravitational field strength at a distance from a point mass and define each term.

Key term

In the equation g = −GM/r², what physical quantity does M represent?

Numbers

Which formula is used to calculate the gravitational field strength at a given distance from a point mass?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    State the equation for gravitational field strength at a distance from a point mass and define each term.

    Model answer

    g = −GM/r², where G is the gravitational constant, M is the mass creating the field, and r is the distance from the centre of the mass.

  2. 2

    In the equation g = −GM/r², what physical quantity does M represent?

    Model answer

    The mass of the object creating the gravitational field.

  3. 3

    Which formula is used to calculate the gravitational field strength at a given distance from a point mass?

    Model answer

    g = GM/r², where G is the gravitational constant, M is the mass, and r is the distance from the centre of the mass.

  4. 4

    Calculate the gravitational field strength when gravitational constant = 6.67 × 10⁻¹¹ N m² kg⁻², mass = 8.13 × 10²⁵ kg, distance from centre = 4.66 × 10⁷ m.

    Model answer

    Gravitational field strength = (6.67 × 10⁻¹¹ × 8.13 × 10²⁵) ÷ (4.66 × 10⁷)² = 2.50 N kg⁻¹.

  5. 5

    Why is the gravitational field strength approximately uniform close to the Earth's surface?

    Model answer

    Because the change in distance from the Earth's centre is negligible compared to the Earth's radius, so r remains effectively constant.

  6. 6

    What condition must be met for the gravitational field to be considered uniform near a planetary surface?

    Model answer

    The height above the surface must be negligible compared to the planet's radius, so the distance from the centre remains approximately constant.

Other ways to work this

The same content, four other ways.

What is inside Levo

Six ways to work the same material.

1Closed book
2Open book
3Closed book

See a huge jump in your memorisation

Answer cold, learn it, then prove it stuck. Levo tracks the jump between your first attempt and your last.

Practical Skills in the Written Papers
The Practical Endorsement
Physical Quantities and Units
Making Measurements and Analysing Data

Cram a whole paper in one sitting

Sort every topic into what you know and what you do not, then drill only the weak ones.

A wave.
longitudinaltransversestationary

Blank Blitz consolidates the facts

Rapid timed gap-fills on the terms and numbers you need to recall without thinking.

AForce is a vector quantity.
BDistance is a scalar quantity.
CVelocity is a vector quantity.

Build It trains answer structure

Assemble a full-mark answer from its marking points, in the order an examiner wants them.

Density means mass per unit volume.
TrueFalse

Test It catches misconceptions

Spot the fault in a statement. The traps are the mistakes students actually make.

721941163128510

Brain Breaks between sessions

Short focus games to reset attention, so the next set lands better than the last.

Every question in Gravitational Fields, on a schedule.

Attempt a question from memory, write the correct version, then attempt it again. Levo records the jump between your first attempt and your last, and brings each question back on the day you are due to forget it.

Or £46 a year, about £3.83 a month. Cancel anytime.