Question

An 70 kg spacewalking astronaut pushes off a 632 kg satellite, exerting a 112 N force for the 0.5 s it takes him to straighten his arms. 

• What Impulse is delivered to the astronaut from the satellite?

• What's the speed of the astronaut after he pushes off? (We'll call the astronaut and satellites initial velocity 0.)

• What's the speed of the satellite after the astronaut pushes off? 

• How far apart are the astronaut and the satellite after 1 min? Note after pushing off, the astronaut and satellite float away from one another with constant velocity (relative to each other.) (Technically they are both in orbit about the Earth, but we don't need to worry about that.)
  

Answer 1

Answer 2

Use the definition of impulse and Newton’s third law of motion to find the required solution as shown below

a) Magnitude of force on satellite by astronaut = force by satellite on astronaus. So, impulse - Ft. = (2121Y0-5s) = 56]lcg.mls b AP - Ft > ms - Vo) = Ft = m(vt -0) - Ft 3) vp = Ft = (112N)(0-55) = 0.8 m/s m 701g 9 for Satellite, magnitude of fora = F = 110N so, Uf = ft as above = (110N) 6.55) eone . = 10.0886 ms 63219 d= det da - 6.8 m/s) At + 0.0886 m/s) at At = Imon = 60 5 d= [53.3 m So,

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