9: Gravitational Fields Flashcards
What is a force field?
A force field is a region in which a body experiences a non-contact force
What are the two types of gravitational field?
Uniform field - Same force everywhere
Radial field - force exerted depends on the position of the object
What does Newton’s law of gravitation show?
The magnitude of the gravitational force between two masses is directly proportional to the product of the masses, and is inversely proportional to the square of the distance between them (where distance is measured between the two centres of masses)
What is the equation for Newton’s law of gravitational force?
F = Gm1m2/r^2
What is G (gravitational constant)
6.67x10^-11
What is gravitational field strength?
The force per unit mass exerted by a gravitational field on an object
What is the gravitational field strength (g) like in a uniform field?
Constant
What is the gravitational field strength (g) like in a radial field?
Variable
What is the general equation for gravitational field strength, used for both radial and uniform fields?
g = F/m
What is the equation for gravitational field strength (g) in a radial field?
g = GM/r^2
What is gravitational potential (V)
The work done per unit mass when moving an object from infinity to that point
What is gravitational potential at infinity?
zero
What happens as an object moves from infinity to a point?
Energy is released as the gravitational potential energy is reduced, therefore gravitational potential is always negative
What is the equation for gravitational potential?
V = -GM/r (radial field only)
What is gravitational potential difference (ΔV)?
Energy needed to move a unit mass between two points