Gravitational field
a region of space where a mass experiences an attractive force towards a second force.
What is newtons law of gravitation?
an inverse square law
Newtons law of gravitation
F = GMm/r^2
Gravitational field strength equation
g = F/m = FM/r^2
differences between electric fields and gravitational fields
Similarities between electric fields and gravitational fields
When is energy transferred?
when a mass or charge moves in a field
Why do satellites stay in orbit?
Because they’re constantly in free fall along a curve path around the earth
What are the different types of orbit?
What can orbits be presumed as?
circular
How is presuming orbits circular helpful?
F = GMm/r^2 = mv^2/r
What do field lines show?
The direction of the force a mass would feel
Properties of gravitational fields
Gravitational field strength, g
force per unit mass
What happens to gravitational field strength below the surface of the earth.
g is proportional to the radius at that point. g increases the further you are from the centre until you reach the surface.
Gravitational potential at a point alternative definition
the work done in moving a unit mass from infinity to that point
Why is gravitational potential negative?
you have to do work against the gravitational field to move an object out of it.
The further you are from the centre of a radial field…
the small the gravitational field strength/ the gravitational potential
At an infinite distance from a point mass the gravitational potential will be…
0
is a mass in moved along equipotentials…
no work is done against gravity
g =
= F/m
= GM/r^2
gravitational force of attraction =
= mass * centripetal acceleration
GMm/r^2 = m*v^2/r g = v^2/r
gravitational potential, V =
-GM/r
Why is gravitational potential negative
because gravity pulls masses together