Gravitation

Gravitation Gravitational force F =  Acceleration due to gravity g =  Variation of g with height gh =  For h < < < R gh = g Variation of g with depth gd =  Variation in g due to rotation of earth At equator gequator = g - 2R At pole gpole = g The time period of rotation of earth T = 2  Angular velocity  =  Time period of revolution of a planet around the sum T = 2  Gravitational field intensity I =  Gravitation potential V =  Potential difference V = VB - VA = - GM Gravitational potential energy U =  Gravitational potential energy at the centre of earth Ucentre =  Gravitational potential energy of body at height h from the earth surface Vh =  Relation between u & v U = mV Work done against gravity W =  Orbital velocity V0 = =  Time period of satellite T = 2  Orbital angular velocity 0 =  Orbital velocity close to earth surface V0 =  Work done in lifting a body of mass m from the surface of earth to an altitude h W =  K.E. in an orbit K.E. =  P.E. in an orbit U =  work done in changing the orbit W =  Escape velocity Ve =  Escape energy =  Relation between Ve & V0 Ve =  V0 Angular momentum of satellite L =  Total energy of satellite =