Case study·Hard exam skill (4/5)·No calculator
Difficulty guide
The label describes the problem, not your ability.
1/5 - Foundational
Warm-up setup; checks one basic idea.
2/5 - Routine exam skill
Normal syllabus skill; usually one main rule or interpretation.
3/5 - Standard multi-step
Exam-style problem with multiple steps or a common trap.
4/5 - Hard exam skill
High-end exam problem; combines methods carefully.
5/5 - Challenge
Stretch problem beyond normal exam pressure.
Question
A satellite is shifted from a circular orbit of radius to another circular orbit of radius around the same planet of mass . The satellite mass is .
Total: 5 marks
(a) Find the ratio of orbital speeds . (1 mark)
(b) Find the initial total energy. (1 mark)
(c) Find the final total energy. (1 mark)
(d) Find the minimum energy supplied for the transfer, ignoring losses. (1 mark)
(e) Find the ratio of orbital periods . (1 mark)
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