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