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`.

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 .

Calculate the mass of the earth. Given radius of the earth =6.4xx10^-6 m and g = 9.8 m//s^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 rocket is fired ‘vertically’ from the surface of mars with a speed of 2 km s^-1. If 20% of its initial energy is lost due to martian atmospheric resistance, how far will the rocket go from the surface of mars before returning to it ? Mass of mars = 6.4xx10^23 kg , radius of mars = 3395 km, G = 6.67xx10^-11 N m^2 kg^-2 .

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

A saturn year is 29.5 times the earth year. How far is the saturn from the sun if the earth is 1.50 xx 10^8 km away from the sun ?