WJEC A-Level Physics 1420QS
Basic Physics
Kinematics
Dynamics
Energy Concepts
Solids Under Stress
Using Radiation to Investigate Stars
Particles and Nuclear Structure
Conduction of Electricity
Resistance
D.C. Circuits
The Nature of Waves
Wave Properties
Refraction of Light
Photons
Lasers
Circular Motion
Vibrations
Kinetic Theory
Thermal Physics
Nuclear Decay
Nuclear Energy
Capacitance
Electrostatic and Gravitational Fields of Force
Orbits and the Wider Universe
Magnetic Fields
Electromagnetic Induction
Option A: Alternating CurrentsOption A
Option B: Medical PhysicsOption B
Option C: The Physics of SportsOption C
Option D: Energy and the EnvironmentOption D
Mathematical Requirements (Appendix C)
Orbits and the Wider Universe
The centre of mass of a two-body system
- 3 things to know
- A2 Unit 4 Section A
Overview
Recall questions on The centre of mass of a two-body system.
What you need to know
Answer each one before you reveal it.
Where does the centre of mass lie if one body is far more massive than the other?
Why must the two bodies always be on opposite sides of the centre of mass?
Questions from this subtopic
Each one with the model answer underneath.
- 1
What is the centre of mass of a two-body system?
Model answer
It is the point about which both bodies orbit, lying on the line joining them at the position where their moments about it balance.
- 2
Give the condition that fixes the position of the centre of mass.
Model answer
M₁r₁ = M₂r₂, where r₁ and r₂ are the distances of the two bodies from the centre of mass.
- 3
How does the position of the centre of mass depend on the two masses?
Model answer
It lies nearer the more massive body, and the two distances are in the inverse ratio of the masses.
- 4
Where does the centre of mass lie if one body is far more massive than the other?
Model answer
Very close to the centre of the massive body, and it may lie inside it altogether.
- 5
Two bodies of 3.0 × 10³⁰ kg and 1.0 × 10³⁰ kg are 6.0 × 10¹¹ m apart. Find the distance of the heavier from the centre of mass.
Model answer
The distances are in the inverse ratio 1 to 3, so the heavier body lies one quarter of the separation away, which is 1.5 × 10¹¹ m.
- 6
Check that position using the moment condition.
Model answer
3.0 × 10³⁰ × 1.5 × 10¹¹ = 4.5 × 10⁴¹ and 1.0 × 10³⁰ × 4.5 × 10¹¹ = 4.5 × 10⁴¹, which are equal.
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