A 63 kg astronaut is drifting in space at a velocity of 7.0 m/s to the right with respect to the spacecraft. The astronaut uses the jetpack to move to the left and back to the spacecraft. The jetpack fires for 14.0 seconds and the astronaut makes it back to the ship. What was the force exerted by the jetpack? AND for extra credit, how far away from the ship where they?

J = Δp = m Δv = F Δt
Impulse = change in momentum = mass x change in velocity = force x time interval

force exerted by Jet pack is 63 N on the astronaut

Explanation:

As per Newton's II law we know that

Rate of change in momentum of the system is net force on it

so we have

so we have

so we have

Since he used jet pack to return back towards the spaceship

so here we will have

force exerted by Jet pack is 63 N on the astronaut

i am pretty sure it is c because when people are closer together, they cannot move as freely. picture being in a mostly full elevator, for instance. the people are right next to you, and you can barely move.