Gravitational Field Flashcards
Gravitational field
A region of space where a mass experiences a force due to the gravitational attraction of another mass
Formula of gravitational field strength
g=Fg/m
Point mass
A body covers a very large distance compared to its size
Newton’s law of gravitation
The gravitational force between 2 point mass is proportional to the product of the masses and inversely proportional to their separation ²
Equation for newton’s law of gravitation
F=Gm1m2/r²
Circular orbits in gravitational fields
mv²/r = GMm/r²
V²=GM/r
Keplers 3rd law
For planets or satellites in circular orbit about the same central body the square of the time period is proportional to the cube of the radius of the orbit
Eq of keplers 3rd law
V=2pir/T
V²=(2pi/r)²
V²=GM/r
Geostationary orbit
Remains directly above equator
Moves from west to east
Has on orbital time period same as earth of 24 hours
Gravitational field strength eq
Fg=GMm/r²
g=F/m
GMm/r²=gm
g=GM/r²
Gravitational potential
The workdone per unit mass in bringing a test mass from infinity to defined point
What is the equation of gravitational potential
Gravitational potential = -GM/r
Why is gravitational potential negative
Since the potential where r is infinity is defined as zero
GPE
The work done in bringing a mass from infinity to that poing
GPE
-GMm/r