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) .

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 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 .

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 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]