Respuesta :
Momentum is conserved.
Momentum of the satellite is 1600*0.14=224 kg-m/sec
Resulting momentum of the astronaut will be equal -- hence
86*v=224 or the velocity of the astronaut is 2.60 m/sec
In 7.5 seconds the astronaut would travel 19.53 meters
Momentum of the satellite is 1600*0.14=224 kg-m/sec
Resulting momentum of the astronaut will be equal -- hence
86*v=224 or the velocity of the astronaut is 2.60 m/sec
In 7.5 seconds the astronaut would travel 19.53 meters
Answer:
22.8 s
Explanation:
First we calculate the change in momentum of the satellite.
ΔP = 2000 kg (0.14 m/s 0 m/s) = 280 kg·m/s
The change in momentum of the satellite is equal to the change in momentum of the astronaut as a result of Newton's Third law. Therefore:
280 kg·m/s = 92kg * v
v = 3.04 m/s
d = speed * time = 3.04 m/s * 7.5 s = 22.8 m