Ok guys, who on my friends list is good at physics. I'm a complete moron and have never been able to figure out static friction problems. It's not explained well in the book. And I suppose they're easy enough, but for some reason I always mess them up. I just took a test and can't figure out if I answered the question right
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Fg = ma = 24kg * 9.8 m/s = 235.2N
Ff = muk * FN = .04 * 235.2N = 94.08N
Since there's already -35N working against you, Fneeded = Ff + 35N = 129.08N.
If you were accelerating the object itself without any resistance or other forces, Fbasic = ma = 24kg * 3.5m/s = 84N.
Therefore, you need Ftotal = Fneeded + Fbasic = 129.08N + 84N = 213.08N.
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