Gravitational (M5) Flashcards
Gravitational potential
The work done per unit mass to bring an object from infinity to a point in the gravitational field.
Symbol: Vg
Unit: Jkg^-1
Vg = -GM/r
Gravitational potential energy
The capacity for work as a result of an object’s position in a gravitational field.
Symbol: E
Unit: J
E = mgh
E = mVg
Gravitational field
A field created around any object with mass, extending all the way to infinity but diminishing as the distance from the centre of mass of the object increases.
Gravitational field strength
The gravitational force exerted per unit mass at a point within a gravitational field.
Symbol: g
Gravitational field lines
Lines of force used to map the gravitational field pattern around an object with mass.
Radial field
A symmetrical field that diminishes with distance squared from its centre, such as the gravitational field around a spherical mass, or the electrical field around a spherical charged object.
Point mass
A mass with negligible volume
Uniform gravitational field
A gravitational field in which the field lines are parallel and evenly spaced, and the value of g remains constant.
Newton’s law of gravitation
The force between two points masses is directly proportional to the product of the mass and inversely proportional to the square of the separation between them.
F = -GMm/r^2
Gravitational constant G
The constant in Newton’s Law of Gravitation with a value determined from experimentation.
Value = 6.67x10^-11 Nkg^-2m^2
Escape velocity
KE = 1/2 mvv
GPE = GMm/r
1/2 mvv = GMm/r
1/2 vv = GM/r
vv = 2GM/r
v = rt(2GM/r)