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I keep getting the wrong answers for these two questions no matter what way i seem to structure it.
1. 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?
If follow the guideline example in my book this is how i try to answer it.
[tex] F = m a \Rightarrow F_1 - F_2 = m a [/tex]
[tex] 9 - 8 \cos 62 = (3) a \Rightarrow \frac {9 - 3.75}{3} = a [/tex]
[tex] \frac {5.2}{3} = a \Rightarrow 1.733... = a [/tex]
But my book says the answer is [tex] 2.9[/tex], what am I missing?
1. 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?
If follow the guideline example in my book this is how i try to answer it.
[tex] F = m a \Rightarrow F_1 - F_2 = m a [/tex]
[tex] 9 - 8 \cos 62 = (3) a \Rightarrow \frac {9 - 3.75}{3} = a [/tex]
[tex] \frac {5.2}{3} = a \Rightarrow 1.733... = a [/tex]
But my book says the answer is [tex] 2.9[/tex], what am I missing?