BRAINCAKE

Potential Gradients

OCR A-level PhysicsGravitational FieldsLesson 12 of 14

The gravitational potential gradient at a point is the change in gravitational potential per metre, ΔVg/Δr. Its unit is J kg-1 m-1, which is the same as N kg-1.

The gravitational field strength is equal to the negative of the potential gradient, g = -ΔVg/Δr. The minus sign shows that the field points in the direction in which the potential decreases, towards the mass.

Diagram

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Key terms in this lesson

gravitational potential
The work done per unit mass to move a small test mass from infinity to a point in a gravitational field.

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