Two astronauts, Hans and Dexter, are on a spacewalk, floating at rest next to their space...

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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?

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3.9 Ratings (450 Votes)

part a as there are no external force total momentum will remain conserved initial momentum0 hence total final momentumtotal initial momentum0 mass of bulletspeed of bulletmass of hansspeed of hans0 as bullets direction and hans direction is opposite speed of bullet is See Answer

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