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Question 35 of 55 in Motion in the Universe

Orbital speeds of planets and satellites

2 marks · Easy

A satellite orbits a planet at a constant radius of 10,000 km and completes one orbit every 20,000 seconds. Calculate its average orbital speed in km/s. Give your answer to 2 significant figures.

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3.1 km/s (±0.1)

Common mistakes: Forgetting to use circumference formula; Using diameter instead of radius

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Marking points

M1 · 1 mark · Substitutes correct values into v = 2πr / T (with r = 10,000 km, T = 20,000 s).

A1 · 1 mark · Correct final answer to 2 significant figures: 3.1 km/s.

Worked solution

The orbital speed is given by:

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