- #1

Humbleness

- 31

- 1

## Homework Statement

Calculate the net force acting on the object indicated in the following diagram. Show your work.

## Homework Equations

cosine/sine law

## The Attempt at a Solution

First I subtracted 10N and 8N (since they are forces acting in different directions):

-8.0N (S) + 10.0N (S) = 2.0 (S)

Then I used the tip-to-tail method:

First using cosine law to find magnitude of the net force:

c

^{2}= a

^{2}+ b

^{2}- 2abcosC

c

^{2}= 4 + 289 - 2 x 2 x 17 (cos45)

c

^{2}= 293 - 48

c = 15.6N

Now angle using sine law:

sina/2.0N = sinb/17N = sin45/15.6N

b = sin

^{-1}(sin45/15.6 x 17)

b = 50.4

Therefore, the net force is 15.6N (S 50.4 W) West of South