Two astronauts having mass of `75 kg` and `50 kg` are connected by a rope of length `L = 10m` and negligible mass. They are in space, orbiting their centre of mass at an angular speed of `omega_(0) = 5`rad/s. The centre of mass itself is moving uniformly in space at a velocity of `10 m//s`. By pulling on the rope, the astronauts shorten the distance between them to `(L)/(2) = 5m` . How much work is done by the astronauts in shortening the distance between them ? Assuming that the astronauts are athletic and each of them can generate a power of 500 watt, is it possible for the two astronauts to reduce the distance between them to `5 m`, within a minute?

Answer

112.5 KJ ; No.