7.0Gravitation
Overview: Gravitation: Planetary Motion and Using the Law of Gravitation — American System Physics Revision Notes & Topical Questions
5 min read 7 parts Lesson 2 of 5 Unit quiz
Lesson summary
State Kepler's laws.Planets move faster when closer to the Sun (second law).Astronauts in orbit are not beyond gravity; they are falling freely.Cavendish measured G with a torsion balance.Einstein described gravity as curvature of space-time.g decreases with altitude.State Kepler…
- If the distance between two masses triples, what happens to the force?
- Kepler's first law
- Kepler's second law
- Kepler's third law
- Law of universal gravitation
- Gravitational field
Section 1 of 7Overview: Gravitation: Planetary Motion and Using the Law of Gravitation
1
2
Tides result from differences in the Moon's gravity across Earth.
3
Geostationary satellites have a 24-hour period.
4
Escape velocity from Earth is about 11.2 km/s.
5
Gravity is always attractive.
6
r is measured from centres, not surfaces.
Section 2 of 7Process & sequence
1
Identify the two masses and the centre-to-centre distance.
2
Use F = Gm1m2/r².
3
For orbits, set gravity = centripetal force.
4
Solve for v or T: T = 2π√(r³/GM).
5
Check with Kepler's third law ratios.
Orbit conditionwrite these steps in this order; each step is a marking point.
- Gravity provides Fc
- GMm/r² = mv²/r
- v = √(GM/r)
- T = 2πr/v
- Apply Kepler III
Section 3 of 7Compare
| Distance | Force |
|---|---|
| r | F |
| 2r | F/4 |
| 3r | F/9 |
| r/2 | 4F |
| Quantity | Depends on |
|---|---|
| Orbital speed | Central mass and radius (not satellite mass) |
| Period | Radius (T² ∝ r³) |
| Weightlessness in orbit | Continuous free fall |
Section 4 of 7Worked examples
If the distance between two masses triples, what happens to the force?
- It becomes 1/9 of the original.
Section 5 of 7Key terms
Section 6 of 7Command terms
Command terms
Identify / Describe (FRQ)
A short, specific statement; describing requires relevant characteristics, not a single word.
Explain / Justify (FRQ)
Give the cause-and-effect reasoning or evidence; a restated fact does not score.
Calculate
Show setup, substitution and the answer with units.
Predict
State the expected outcome; add a reason only if asked to justify.
MCQ technique
Read every option; eliminate distractors that are true statements but do not answer the question; watch for NOT/EXCEPT.
Section 7 of 7Exam technique
Keywords the mark scheme looks for in this lesson
Keywords the mark scheme looks for in this lesson
Kepler's first law · Kepler's second law · Kepler's third law · Law of universal gravitation · G · Gravitational field · Orbital speed · Inertial vs gravitational mass
Learn each definition in the Key words tab exactly; a missing keyword in a definition usually loses the mark.
How to get full marks (examiner guidance)
1
Answer exactly what is asked; extra correct material does not earn credit, and contradictory statements can cancel credit (AP FRQ).
2
Use precise vocabulary (e.g. “active site”, “concentration gradient”, “allele”), never “it/stuff/things”.
3
Show units and working in calculations.
4
In MCQs, predict the answer before reading the options, then eliminate.
Instant feedbackCheck yourself
Q1. Doubling one mass changes gravitational force by
- A. ×2
- B. ×4
- C. ×½
- D. no change
Show answer
A. F ∝ m.
Q2. A planet moves fastest when
- A. farthest from the Sun
- B. closest to the Sun
- C. at any point equally
- D. never
Show answer
B. Equal areas.
Q3. Orbital speed of a satellite depends on
- A. its mass
- B. orbit radius and planet mass
- C. its shape
- D. its colour
Show answer
B. √(GM/r).
Q4. Astronauts float in the ISS because
1
A. no gravity
2
B. free fall
3
C. magnetism
4
D. air pressure
Show answer
B. Falling with station.
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