1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Momentum (Astronaut and Gun)

  1. Nov 9, 2015 #1
    1. The problem statement, all variables and given/known data
    An astronaut is drifting away from the space shuttle at a velocity of 1.1m/s. He fires his gun's 30g bullets to return to his ship. The mass of the astronaut and his spacesuit is 123kg, his gun has a mass of 12kg and the bullets leave the gun at a velocity at 250 m/s.
    What is the approximate minimum number of bullets that he will need to fire to begin drifting back to the ship?

    2. Relevant equations
    mv=mv?

    3. The attempt at a solution
    mv=mv*(number of bullets)
    (135)(1.1)=(0.03)(250)*n
    148.5=7.5n
    n=19.8
    Therefore the astronaut will need to fire 20 bullets to start drifting backwards. Is this right?
     
    Last edited: Nov 9, 2015
  2. jcsd
  3. Nov 9, 2015 #2
    Are these velocities measured relative to the space shuttle?
     
  4. Nov 9, 2015 #3
    I'm not really sure as this is a question from a practice exam, so I just plugged the variables in.
     
  5. Nov 9, 2015 #4

    haruspex

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member
    2016 Award

    Yes. To be completely accurate you would need to take into account that the initial mass includes the bullets, and this reduces with each shot fired. But you are not told the total initial mass of bullets, and the effect would be tiny anyway.
     
  6. Nov 9, 2015 #5
    Another point that is missed in idealized textbook problems is that the recoil of the pistol is equal and opposite not only to the momentum of the bullet, but to the momentum of the bullet plus the momentum of the expanding gases that propelled the bullet (at least the component in the same direction). This complicates accurate computation of pistol recoil considerably and renders simple formulas based on bullet mass and velocity a significant underestimate.

    The attached photo shows stills from a high speed video taken in our lab to try and better quantify the contribution of the gases. The frames in view do a pretty good job showing the forward motion of the gases. Later frames (not shown) allow quantifying the subsequent rearward motion of the pistol. Bullet velocity was measured with an optical chronograph.


    Sequence.png
     
  7. Nov 10, 2015 #6

    SteamKing

    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper

    Presumably, the mass of the gun (12 kg) includes the mass of the bullets with which it is loaded.
     
  8. Nov 10, 2015 #7

    haruspex

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member
    2016 Award

    Perhaps, but that is not at all clear.
     
  9. Nov 10, 2015 #8
    If the speed of the astronaut were a significant fraction of the muzzle speed, you'd have to take into account that the velocity of the bullets with respect to the gun is not the same as the velocity of the bullets with respect to the shuttle. In this case it's insignificant.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: Momentum (Astronaut and Gun)
  1. Momentum of astronaut (Replies: 3)

  2. Astronaut Momentum (Replies: 3)

Loading...