1. An astronaut with mass 80.0 kg is tethered by a strong rope to an orbiting space shuttle.
The mass of the shuttle is 8.55x10^4 kg, and the mass of the rope can be ignored. The shuttle
is far from the earth and moon, so the gravitational forces on it and the astronaut are
negligible. Both the shuttle and the astronaut are initially at rest relative to each other. The
astronaut then pulls on the rope with a force of 90 N.
a) What force does the rope exert on the astronaut?
b) What is the astronaut's acceleration?
c) What force does the rope exert on the shuttle?
d) What is the shuttle's acceleration?