Physics › Equations › Gravitational fields

Gravitational fields equations

The 10 equations the gravitational fields notes display, each with a link to the lesson that states it. Of the 10, the data booklet prints 6, 3 are yours to memorise and 1 carries no badge either way.

Year 13 · 3 lessons with equations.

The marks refer to the AQA 7408 data booklet. An equation it prints is marked as such, and one it leaves out is marked to learn. An equation with no mark has not been checked against that booklet, and some of these belong to the Edexcel, OCR or CIE specification rather than AQA’s, so check them against your own board’s data or formula booklet.

3 lessons

Newton's law of gravitation

F=Gm1m2r2F = \frac{Gm_{1}m_{2}}{r^{2}}IN THE AQA DATA BOOKLET
g=Fmg = \frac{F}{m}IN THE AQA DATA BOOKLET
g=GMr2g = \frac{GM}{r^{2}}IN THE AQA DATA BOOKLET

Gravitational potential

V=-GMrV = -\frac{GM}{r}IN THE AQA DATA BOOKLET
ΔW=mΔV\Delta W = m\Delta VIN THE AQA DATA BOOKLET
g=-ΔVΔrg = -\frac{\Delta V}{\Delta r}IN THE AQA DATA BOOKLET

Orbits and satellites

GMmr2=mv2r\frac{GMm}{r^{2}} = \frac{mv^{2}}{r}NOT IN THE AQA DATA BOOKLET: LEARN IT
T2=4π2GMr3T^{2} = \frac{4\pi^{2}}{GM}\,r^{3}NOT IN THE AQA DATA BOOKLET: LEARN IT
E=Ek+U=-GMm2rE = E_k + U = -\frac{GMm}{2r}
vesc=2GMrv_{esc} = \sqrt{\frac{2GM}{r}}NOT IN THE AQA DATA BOOKLET: LEARN IT

Every equation in the library is indexed by unit on the equation index, and the gravitational fields notes are where these equations are derived and used. The 3 the booklet leaves out are on the equations to memorise, alongside the rest of the course.

Also: Thermal physics equations · Electric fields equations