Finding Equilibrium Force: Is it Correct?

[UrbanXrisis]

the question is http://home.earthlink.net/~urban-xrisis/clip_image002.jpg

so first I found the angle...
tan\theta=\frac{O}{A}=\frac{0.5}{6}
\theta=4.7636416

I then needed to find the force of the hypotnuse...
sin\theta=\frac{O}{H}
H=\frac{250N}{sin4.7636416}

H=3010.3987N

is this correct?

 

[witze]

I didn't bother going through your work, but I got the same answer, 3010.4 N. So I assume it's correct. Also, the distances in your problem were given to 2 significant digits, so realistically the answer is correct to only 2 sig dig.

 

[physmurf]

That looks good to me. Assuming all of your calculations are correct, that seems to be the correct method for solving this problem.

 

[UrbanXrisis]

it just seems amazing that if you applied only 500 Newtons, you will get a resultant force of over 6 times of what you applied.

how can that be?

 

[whozum]

Mechanical advantage. You are applying force against a much larger angle than the force applied against the car. The difference in this angle will result in the force on the car being much greater.