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A skier is pulled up a slope at a constant velocity by a tow bar. The...

A skier is pulled up a slope at a constant velocity by a tow bar. The slope is inclined at 25.2 ° with respect to the horizontal. The force applied to the skier by the tow bar is parallel to the slope. The skier's mass is 46.5 kg, and the coefficient of kinetic friction between the skis and the snow is 0.158. Find the magnitude of the force that the tow bar exerts on the skier.

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Answer #1

Force along vertical direction

Force, Fn = mg cos(theta) = 46.5 x 9.8 x cos25.2 = 412.33 N

Along horizontal direction  

F = mg[ u cos(theta) + sin(theta)]

F = (46.5 x 9.8)[ 0.158 cos25.2 + sin25.2]

F = 259.18 N (Ans)

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