A 29000 kg sailboat experiences an eastward force 20600 N due to the tide pushing its hull while the wind pushes the sails with a force of 87400 N directed toward the northwest (45 westward of North or 45 northward of West). What is the magnitude of the resultant acceleration of the sailboat?
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Expert's answer
2012-12-20T08:29:14-0500
F1=20600 N F2=87400 N M=29000 kg F_total=F1+F2 the angle between F1 and F2 is 135. using the Law of cosines and the parallelogram law(rule): F_total^2=F1^2+F2^2-2F1F2*cos(180-135)=F1^2+F2^2+2F1F2*cos(135) a=F_total/M a=Sqrt(F1^2+F2^2+2F1F2*cos(135))/M = 2.56m/s^2
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