A satellite is in an elliptic orbit around the earth with aphelion of 6R and perihelion of 2R where R = 6400 km is the radius of the earth. Find eccentricity of the orbit.
`[G = 6.67 xx 10^-11` SI units and M `= 6xx 10^24 kg]`

Calculate the mass of the earth. Given radius of the earth =6.4xx10^-6 m and g = 9.8 m//s^2

Find the mass of earth (Given the radius of earth R= 6.4 xx 10^6 m) .

Prove that g = GM/R^2 , where M is mass and R is radius of earth.

A satellite is to be placed in equatorial geostationary orbit around earth for communication. calculate height of such a satellite. [ M = 6 xx 10^24 kg, R = 6400 km, T = 24 h, G = 6.67 xx 10^-11 SI units]

A satellite is launched into a circular orbit 1600 km above the surface of the earth. Find the period of revolution, the radius of the earth R = 6400 km and the acceleration due to gravity is 9.8 m//sec^2 .

A satellite orbits the earth at a height of 400 km above the surface. How much energy must be expended to rocket the satellite out of the earth’s gravitational influence? Mass of the satellite = 200 kg, mass of the earth = 6.0xxl0^24 kg , radius of the earth = 6.4 xx 10^6 m , G = 6.67 xx 10^11 N m^2kg^2 .

A satellite of mass 'm' is revolving in a circular orbit of radius 'r' around the earth of mass M. What is the total energy of the satellite?

Calculate the radius of oxygen nucleus .Given that R_0 = 1.1 xx 10^(-15) m .

Calculate the density of hydroen nucleus in SI units .Given , R_0 = 1.1 xx 10^(-15) m and 1 a.m.u = 1.66 xx 10^(-27) kg .