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Problem, Newton's 3rd Law Astronaut/Satellite

  1. Mar 25, 2007 #1
    1. The problem statement, all variables and given/known data
    An 92.0kg spacewalking astronaut pushes off a 625 kg satellite, exerting a 90.0 N force for the 0.460 seconds it takes him to straighten his arms.


    Question: How far apart are the astronaut and the satellite after 1.50 mins ?

    2. Relevant equations

    Newton's 3rd and 2nd law, and kinematics i guess


    3. The attempt at a solution

    I did F=ma to find the accel of the man and the sat, F = 90N for both of them because of Newton's 3rd law.

    I then took that into the kinematics but I also took 90 (1.5mins) - the .46seconds and used that to find position with vi = 0 and accel = to what I found earlier. From there I took the same kinematic eq. pluged in what I got previous for the inital distance, turned accel to velocity and accel to 0 since now the guy and sat were no longer accelerating. I did this for both bodies and got approx 193m which is wrong.



    Please tell me what I am doing wrong and/or how to implement the laws as needed. I already looked at a similar problem on here but all that was said is use the laws. But that person only offered the problem no attempt at the solution, so I am hoping my attempt will get me more noteworthy help. If you need me to I can scan my work, it however is not going to be pretty
     
  2. jcsd
  3. Mar 25, 2007 #2

    hage567

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    I'd start with the impulse-momentum theorem.
     
  4. Mar 25, 2007 #3
    which is... i've read my book, haven't seen that in there or implemented, it may be called something different
     
  5. Mar 25, 2007 #4

    hage567

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    There's no mention of it in your book? I'm not sure what else it would be called. It is based on Newton's second law.

    [tex] I=\Delta{p}=F\Delta{t} [/tex]

    where I is the impulse, delta(p) is the change in momentum, F is the force, and delta(t) is the time interval the over which the force acts.

    Think conservation of momentum.
     
  6. Mar 25, 2007 #5
    I was under the impression that the impulse-momentum theorum, can be derived from N-2,3 and kinematics, in other words, the approach of the OP should work; eg

    Vsat=a*t=90/Msat and Vast=a*t=-90/92 so Vsat=90/625*t and Vast=-90/92*t so the relative velocity apart from each other is
    90(1/625+1/92)*t= 1.12*0.46=0.52m/s; 90 seconds later, 46.46m apart. Not sure why this is so different than the 193 offered as none of the work is shown.
     
  7. Mar 25, 2007 #6
    ok i'm going to go through this and try to understand it and I went through again and there is no impulse formula in my book...hmm.. but i do remember it now from HS phys. Thank you for the help so far guys
     
  8. Mar 25, 2007 #7
    Dan,

    did you reconcile your results with mine? Just curious. If you take the impulse/delta P approach you end up with
    Force*time=M1V1+M2V2 for the two objects.
     
    Last edited: Mar 25, 2007
  9. Mar 25, 2007 #8

    hage567

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    denverdoc, using the impulse theorem, I get the same answer you do.
     
  10. Mar 25, 2007 #9
    I have yet to go completely over it, I have been working on Statics and Aerospace programming for the evening, I should get to it sometime tonight or tomm morning.

    The only problem with this Force*time=M1V1+M2V2, is I do not have their velocities
     
  11. Mar 25, 2007 #10
    Hage for my own edification, can you tell me how you did it.
     
  12. Mar 26, 2007 #11

    hage567

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    denverdoc, I'll send you a PM.

    Dan, I don't understand why you are subtracting the 0.46s from the 90s in your original post (assuming I'm understanding what you did). Can you show more of your calculation?
     
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