Chapter 13 : Gravitational Fields Flashcards
Gravitational Fields
A gravitational field is a region of space where a mass experiences a force.
Occurs due to the point mass.
Centre Of Mass
Point on a body where the whole mass is concentrated.
Uniform Gravitational Field ( g )
9.81 = g = F / m = GM / r2
Radial Field
Where g is not the same.
Field Line In Gravitational Field
Parallel
Radial Gravitational Field
g depends on the position of the object on the surface.
Universal Gravitational Constant ( G )
6.67 * 10^-11
Universal Gravitational Constant ( G )
Every point mass attracts the other point mass with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.
F is ( where r is distance or separation between 2 bodies )
GMm / r^2
g in a radial field ( where M is the mass of the object )
GM / r^2
Escape velocity v by solving GMm / r = 1/2mv^2
√ 2GM / r
rw
√ GM / r
2πr / T
√ GM / r
Gravitational Potential ( Φ )
-GM / r
Gravitational Field Strength
The gravitational field strength at a point is defined as the ( force per unit mass )
acting on a small mass placed at that point.