A Level Physics

Gravitational Fields 2 (Answers)

Total Marks:/30

AQA, Edexcel

A Level

1. The graph below shows the variation of the orbital period squared with the radius cubed for Jupiter’s

moons.

Total for Question 1: 10

(a) Define a gravitati on al field. [1]

G 2

(b ) By equating the centripetal force and the gravitational force on a planet, show that T 2 = 4π r3.

[4]

2

Solution: mv = GmM → v2 GM

r r2 r

Since the planet is assu m e =d to be moving in a circle, v = 2πr

T
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