Gravitational Fields Flashcards
definition of Gravitational field
Region in space where mass experiences a force due to gravitational attraction of other mass
units of GPE in radial field
Jkg^-1
why is GPE in radial field always negative
there is zero potential at infinity therefore mass needs to gain energy to escape the field
when orbiting what will gravitational force equal
centripetal force
In an orbiting body what is total energy equal to
what factor affects total energy
Ke + GPe
radius
what is a synchronous orbit
what is a geostationary orbit
the time period of an orbiting body is equal to the period of rotation of the body its orbiting
when the orbiting body is in a synchronous orbit above the equator
uses of geostationary satellite
uses of LEO satellite
- telecommunications
- weather, military, photographs
what is escape velocity
what is formula
how do you derive formula
minimum speed of an object to escape a gravitational field
V = √2GM/R
1/2mv^2=GMm/R
what is keplars law
for planets and satelites in circular orbit : T^2 ∝ R^3
what is equation for keplars law
T^2 = 4π^2r^2/GM
what are the equations for linear velocity in radial field
v^2 = GM/R = (2πr)^2/T
how are GPE and GP differnt
GP = GPE per unit mass
definition of GP in radial field
world done bringing a mass from infinity to a defined point in a radial field
which point on earth has largest kinetic energy/speed
equator
how are radial and uniform fields different
in radial field g ∝ 1/r^2 whereas in uniform g is constant
what are factors affecting g
radius of planet
mass of planet
density of planet
derive formula for linear speed
mv^2/r = GMm/r^2
