Two astronauts, Hans and Dexter, are on a spacewalk, floating atrest next to their space vehicle. They argue and Hans shoots Dexterwith a handgun. The bullet has a mass of 15 grams and a muzzlevelocity of 250 m/s. Hans now finds himself drifitng away from thespacecraft.
a. Hans and his spacecraft have a mass of 200kg, how fast is hedrifting away?
b. Hans only had one bullet, but he is holding a gun of mass 1.1kg. How fast must he throw it to stop drifting away from thespacecraft?
c. Meanwhile, on Earth, a solid cylinder of mass 5 kg rollswithout slipping toward a hll with a velocity of 5 m/s. How high upthe hill will the cylinder roll?
d. The bullet lodges in Dexter, who can be thought of as a longthin rod of length 2 m and mass 200kg. It lodges .8m above hiscenter of mass. What are his linear and angular velocity as hedrifts away into space?
