Physics 9702 · AS & A Level · Gravitational force between point masses

Gravitational force between point masses — practice question

(a)[2]

State Newton’s law of gravitation in words.

(b)[3]

Neptune, the planet, has eight moons (satellites). Each moon moves around Neptune in a circular orbit of radius $r$ with a period $T$. If Neptune and each moon are treated as point masses, show that $r$ and $T$ are connected by the expression $GM_N = \frac{4\pi^2 r^3}{T^2}$, where $G$ is the gravitational constant and $M_N$ is the mass of Neptune.

(c)

Fig. 1.1 gives data for Triton, a moon of Neptune, and for Oberon, a moon of planet Uranus.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Gravitational force is proportional to the product of the masses and inversely proportional to the square of the separation

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