OCR A-Level Physics B H557
Planning
Implementing
Analysis
Evaluation
Practical Skills
Use of Apparatus and Techniques
Fundamental Data Analysis
Imaging and Signalling
Sensing
Mechanical Properties of Materials
Waves and Quantum Behaviour
Space, Time and Motion
Creating Models
Out Into Space
Our Place in the Universe
Matter: Very Simple
Matter: Hot or Cold
Electromagnetism
Charge and Field
Probing Deep Into Matter
Ionising Radiation and Risk
Out Into Space
Gravitational potential and equipotentials
- 3 things to know
- Components 01, 02 and 03
Overview
Recall questions on gravitational potential V = −GM/r and its unit, its link to potential energy, potential as a scalar, the potential at the Earth's surface, equipotential surfaces around a planet and why moving along one needs no work, their relation to field lines, escape energy per kilogram, the energy to move a probe, equipotential spacing, and which way a released mass moves.
What you need to know
Answer each one before you reveal it.
What is the gravitational potential at a distance r from a point mass M?
Calculate the gravitational potential at the surface of an Earth with GM = 3.98 × 10¹⁴ N m² kg⁻¹ and radius 6.37 × 10⁶ m.
Questions from this subtopic
Each one with the model answer underneath.
- 1
Define gravitational potential at a point.
Model answer
It is the work done per unit mass in bringing a small test mass from infinity to that point.
- 2
How is gravitational potential related to gravitational potential energy?
Model answer
The potential is the potential energy per unit mass, V = E/m.
- 3
What is the gravitational potential at a distance r from a point mass M?
Model answer
The potential is V = −GM/r.
- 4
State the unit of gravitational potential.
Model answer
It is measured in J kg⁻¹.
- 5
Is gravitational potential a scalar or a vector?
Model answer
It is a scalar, so the potentials due to several masses are simply added arithmetically.
- 6
Calculate the gravitational potential at the surface of an Earth with GM = 3.98 × 10¹⁴ N m² kg⁻¹ and radius 6.37 × 10⁶ m.
Model answer
V = −GM/r = −6.25 × 10⁷ J kg⁻¹.
Other ways to work this
The same content, four other ways.
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