GRAVITAION Flashcards
Gravitational force is ……..
weak, attractive, and conservative
Gravitational force obeys what law
inverse square law
The formula of G force
F=GMm/R^2
Value of Universal Gravitational constant
6.67 X 10^-11
Acceleration due to gravity with HEIGHT
g’ = g(1-2h/R)
g’ = g/(1-h/R)^2
Acceleration due to gravity with DEPTH
g’= g(1-D/R)
Gravitational PE
PE = -GMm/R
Escape Velocity of Earth
11.2 km/s
Escape Velocity formula
EV = (2GM/R+h)^1/2
Orbital Velocity formula
OV = (GM/R+h)^1/2
Relation b/w Kinetic, potential and total energy
TE = -KE = PE/2
Angular momentum in planetary motion is
Conserved
Types of satellite
Geostationary and Polar satellite
The time period for Geostationary satellite and polar satellite
24 hours and 100 minutes
Distance from Earths surface GS & PS
35800 km & 800 km
When is weightlessness experienced
Normal reaction = 0
Kepler’s first law
LAW OF ORBITS
The planet revolves around the sun in an elliptical orbit with the sun at one of the foci of the ellipse.
major axis (2a) minor axis (2b)
Perihelion (perigee): Max KE, least PE, closest to sun
Aphelion (apogee): Least KE, max PE, furthest from sun
Essentricity(e) = (Distance of sun from origin of axis)/semimajor axis
Second law
LAW OF AREAS
If net torque=0, equal area swept in equal time intervals
Third law
LAW OF PERIODS
Square of the time period for on rev is cube of semi major axis
Gravitational Potentiol
V = U/m = -GM/r
areal velocity and angular momentum relation
aV = L/2m
interstellar velocity
v^2 = u^2 - Ve^2
v= interstellar veloctiy u= velocity with which body leaves planet Ve= escape velocity
If radius decreases by factor of n then time period
T’ = T/n
gravitational field inside a shell
0
gravitational field outside a shell
Gm/r^2
gravtaional field inside a solid sphere
Gmr