## i can't be this dumb. can i?

only two horozontal forces act on a 3kg mass. one force is 9.0 N acting due east, and the other is 8.0 N acting 62 degrees north of west. what is the magintude of the body's acceleration.

The answer in the book is 2.9 m/s^2. but how can this be?

shouldn't the solution be (9 + 8cos(118))/3 = 1.74808 m/s^2 ?

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 you are missing a component of the force Sure you got that first part right but you're missing the fact that there is ANOTHER COMPONENT of force being appleid on this object. You decomposed that 8N force in 8cos 62 and 8sin62 what hapopened to the 8sin62?
 What about the northward component of the second force? The book's answer is correct.

## i can't be this dumb. can i?

damn is all i can say

 Recognitions: Homework Help You can deal with x and y components separately as you did, or you can use trigonometry to add the two force vectors.
 Recognitions: Gold Member Science Advisor Staff Emeritus "i can't be this dumb. can i? " Don't ask questions like that! You might not like the answers!