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(i))[2]

By reference to forces, explain why the satellite moves in a circular orbit.

(b(ii))[3]

Use Newton’s law of gravitation to demonstrate that $h$ and $T$ satisfy $(h + B)^{3} = \frac{GA}{4\pi^{2}} T^{2}$, where $G$ is the gravitational constant and $A$ and $B$ are constants depending on the planet’s properties.

(b(iii))[5]

Use the gradient and intercept from Fig. 1.1 to work out $A$ and $B$. Include units in your answers.

Worked solution & mark scheme

This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: The gravitational force is directly proportional to the product of the masses

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