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AQA Edexcel A Level Physics Gravitational Fields Answers 2

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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 Combining gives: T 2 = 4πr23 GM Solution: A region where a mass experiences a force. Solution: Orbits are highly e lliptic al; whe n close to the sun the come ts tr avel muc h faster than else where. Therefore, they spend much less ti me near the sun (where we can see the m) than they do far away. (c ) Use the result from the previous part and the graph above to calculate Jupiter’s mass. [3] [2] (d ) Kepler’s second law states that a line segment joining a planet and the sun sweeps out equal areas during equal intervals of time. Use this to explain why we rarely see great comets, whose orbits are highly elliptical. Solution: 1.9 × 10 27 kg

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AQA, Edexcel

A Level
A Level Physics
Gravitational Fields 2 (Answers)




Total Marks:/30

, 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 onal field. [1]

Solution: A region where a mass experiences a force.


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


2
Solution: mv =
r
→ v2
GmM
r2
GM
r 2πr
Since the planet is assu m e =
d to be moving in a circle, v = T
4πr23
Combining gives: T 2 = GM

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