A proposed “space elevator” consists of a cable going all the way from the ground to a space station in geostationary orbit (always above the same point on Earth’s surface). Elevator “cars” would climb the cable to transport cargo to outer space. Consider a cable connected between the equator and a space station at height H above the surface. Ignore the mass of the cable*. 

(a) Find the height H. 

(b) Suppose there is an elevator car of mass 100 kg sitting halfway up at height H/2. What tension T would be required in the cable to hold the car in place? Which part of the cable would be under tension (above the car or below it)?