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`.

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) .

What is magnitude of gravitational force between the earth and a 1 kg object on its surface ? Take mass of earth to be 6 xx 10^24 kg and radius of the earth is 6.4 xx 10^6 m.G =6.67 xx10^-11nm^2kg^-2 .

A rocket is fired vertically with a speed of 5 km s^-1 from the earth’s surface. How far from the earth does the rocket go before returning to the earth ? Mass of the earth = 6.0 xx 10^24 kg , mean radius of the earth = 6.4 xx 10^6 m , G = 6.67 xx 10^-11 N m^2kg^-2 .

A spaceship is stationed on Mars. How much energy must be expended on the spaceship to launch it out of the solar system ? Mass of the space ship = 1000 kg, mass of the sun = 2xx10^30 kg , mass of mars = 6.4xxl0^23 kg , radius of mars = 3395 km, radius of the orbit of mars = 2.28 x10^8 km , G = 6.67xx10^-11 N m^2 kg^-2 .

As you have learnt in the text, a geostationary satellite orbits the earth at a height of nearly 36,000 km from the surface of the earth. What is the potential due to earth’s gravity at the site of this satellite ? (Take the potential energy at infinity to be zero). Mass of the earth = 6.0Xx10^24 kg , radius = 6400 km.