A spaceship is orbiting the earth in a circular orbit at a height equal to radius of the earth `(R_(c) = 6400 km)` from the surface of the earth. An astronaut is on a space walk outside the spaceship. He is at a distance of l = 200 m from the ship and is connected to it with a simple cable which can sustain a maximum tension of10 N. Assume that the centre of the earth, the spaceship and the astronaut are in a line. Mass of astronaut along with all his accessories is 100 kg. Do you think that a weak cable that can only take a load of 10 N, can prevent him from drifting in space ? Make a guess. Estimate the tension in the cable. [Acceleration due to gravity on the surface of`[ Earth =9.8m//s^(2)`]