Homework Soursesuppose a carbon nanotube cable is used as a space elevator
suppose a carbon nanotube cable is used as a space elevator on the moon it stretches 6*10^4 km up from the surface. if the mass of the entire cable is 4*10^4 kg, determine the amount of work required to pull the entire cable up to the counterwieght. Gravitational Constant 8*10^-11. Rad of the moon 2*10^3 km. Mass of the moon 7*10^19 metric tons
Solution
centre of mass of cable =3*10^4 km from surface Force =GMm/r^2 = 218.75 N r=2*10^6 m + 3*10^7 m work done = Force x distancce = 218.75 x 3*10^7=6.5625 * 10^9 J
