Find the weight of the atmosphere around the earth (take the radius of earth as 6400km.)

Find the percentage decrease in the weight of a body when taken 16 km below the surface of the earth. Take radius of the earth is 6400 km.

Find the velocity of a satellite at height 80 km from earth. If the radius of earth is 6400 km

A chord of length 64 m is used to connected a 100 kg astronaut to spaceship whose mass is much larger than that of the astronuat. Estimate the value of the tension in the cord. Assume that the spaceship is orbiting near earth surface. Assume that the spaceship and the astronaut fall on a straight line from the earth centre. the radius of the earth is 6400 km .

At what height above the earth's surface the acceleration due to gravity will be 1/9 th of its value at the earth’s surface? Radius of earth is 6400 km.

The imaginary angular velocity of the earth for which the effective acceleration due to gravity at the equator shall be zero is equal to [Take g = 10 m//s^(2) for the acceleration due to gravity if the earth were at rest and radius of earth equal to 6400 km.]

What is the value of acceleration due to gravity on the surface of earth if the entire earth was made of gold ? (Radius of earth = 6400 km , Density of gold = 19.3 xx 10^(3) kg//m^3 and G = 6.67 xx 10^(-11) MKS)

With what velocity must a body be thrown from earth's surface so that it may reach a maximum height of 4R_(e) above the Earth's surface ? (Radius of the Earth R_(e)=6400 km,g=9.8 ms^(-2) ).

The minimum and maximum distances of a satellite from the centre of the earth are 2R and 4R respectively where R is the radius of earth and M is the mass of the earth find radius of curvature at the point of minimum distance.