Gravitational potential (AQA A-Level Physics): Flashcards

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Gravitational potential
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Define gravitational potential (VV)

Work done per unit mass to move an object from infinity to that point

Gravitational potential at infinity

Zero

Sign of gravitational potential near a mass

Negative

Equation for gravitational potential in a radial field

V=GMrV = -\frac{GM}{r}

Gravitational potential difference (ΔV\Delta V)

Energy required to move a unit mass between two points

Work done moving mass mm through ΔV\Delta V

mΔVm \Delta V

Define equipotential surfaces

Surfaces where gravitational potential is same at every point

Work done moving along an equipotential surface

Zero (no work required)

Relationship between VV and distance rr

Inversely proportional: V1rV \propto \frac{1}{r}

Gravitational field strength from potential gradient

g=ΔVΔrg = -\frac{\Delta V}{\Delta r}

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