# Astronaut problem

## Homework Statement

Three astronauts equipped with jetpacks are pushing a satellite, having a mass of 127 kg, through space. The forces being exerted on the satellite are F1=31.7 N at an angle of 30.8 degrees above the horizontal, F2=40.2 N at 58.6 degrees below the horizontal, and F3=53.9 N along the horizontal.

What is the magnitude of the satellite's acceleration?

## Homework Equations

okay so i thought of finding the total force and then using f=ma.

## The Attempt at a Solution

31.7N : 31.7sin30.8, 31.7cos30.8
40.2N: -40.2sin58.6, -40.2cos58.6
53.9N: 53.9sin0, 53.9cos0

i added the sin together and cos together and used Pythagorean Theorem to find the total force and plug that into the equation and i got the answer wrong so i don't know where it's wrong. Plz help..

#### Attachments

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What answer did you get? I've worked it out and will compare yours to mine.

Jared

Here's a hint, the vertical velocities are opposing each other so one is + and one is - (Sin values are correct). Your problem is you have also made your equation so that the horizontal force of the lower guy (below horizontal) is opposing the other two.

Jared

Last edited:
oh!! omg..okay i got it it was suppose to be +40.2cos58.6..
tytytytyty!

There we go, glad to help.

Jared