A barrel is rolling down a hill which is at an angle of 17∘ with the horizontal. The only force acting on the barrel is the force of gravity which has a magnitude of 500 N. If the barrel rolls a total of 100 m, find the work W done on the barrel by the force of gravity. Round to two decimal places.

answer: the angel abc is 30°,and the abc is a triangle where the angel bac is 90°

so ac is the half of 24=12ft,and from the pythagorean theorem we find ba

ba=√bc^2-ac^2=√576-144=√432=12√3ft

so bac is 12+12√3=12(1+√3)ft

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