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## anonymous 4 years ago Only two horizontal forces act on a 3.0 kg body that can move over a frictionless floor. One force is 9.0 N, acting due east, and the other is 8.0 N, acting 62° north of west. What is the magnitude of the body's acceleration?

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1. anonymous

|dw:1332049690832:dw| the net force on the body =(9-8sin62)i^+(8cos62)j^ Apply vector method to find the magnitude of the net force. after it find the acceleration: acceleration=(magnitude of the net force)/mass of the body.

2. anonymous

angle with normal or horizontal? if horizontal:$-8\cos62+90=ma$&$N+8\sin62=mg$

3. anonymous

yeh if finding the xcoordinate use cos from what i know

4. anonymous

ordinarily angle with horizontal|dw:1332050614025:dw|

5. anonymous

i get 1.75m/s^2 but the answer is 2.9 m/s^2

6. anonymous

@hosein here Normal force will be equal to weight of the body.hence they will be cancel to each other.

7. anonymous

i will try use pythagoras with vector notation

8. anonymous

one the force has angle so it has component throgh normal

9. anonymous

my ans is same to you @jadefalcon are you sure about answer?

10. anonymous

straight from the book...you don't consider gravity in this problem

11. anonymous

why we use gravity !we have'nt got friction here so we don't use it

12. anonymous

@hosein,yes ,you can also do here but it is not necessary here

13. anonymous

ah k i was just looking at your diagram...

14. anonymous

so the answer is..........?

15. anonymous

2.9 m/s^2 and working is???

16. anonymous

im still fiddling with angles to come up with an answer

17. anonymous

ohh i see now

18. anonymous

i think

19. anonymous

i don't understand what are you saying

20. anonymous

so 180deg mins 62degs =118degs so (9-8cos-118)/3=4.25 so (9-8sin118)/3=1.94 squareroot(4.25^2 + 1.94^2) = wrong answer arrrgh

21. anonymous

oh sorry the diagram is wrong , see true diagram here.|dw:1332051564007:dw| then net force =(9-8cos62)i^+(8sin62)j^ then follow same way for finding the acceleration. acceleration must be 2.9m/sec^2(about)

22. anonymous

ahhh yes he is right...but you forgot to divide by 3 at the end

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