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A skier is pulled up a slope at a constant velocity by a towbar. The slope is in

ID: 1727752 • Letter: A

Question

A skier is pulled up a slope at a constant velocity by a towbar. The slope is inclined at 25.0o with respectto the horizontal. The force applied to the skier by the towbar is parallel to the slope. The skier's mass is 55.0kg, andthe coefficient of kinetic friction between the skis and the snowis 0.120. Find the magnitude of force that the tow bar exertson the skier. answer: 286N A skier is pulled up a slope at a constant velocity by a towbar. The slope is inclined at 25.0o with respectto the horizontal. The force applied to the skier by the towbar is parallel to the slope. The skier's mass is 55.0kg, andthe coefficient of kinetic friction between the skis and the snowis 0.120. Find the magnitude of force that the tow bar exertson the skier. answer: 286N

Explanation / Answer

constant velocity = the system is in equilibrium And if the system is in equilibrium, the forces are balanced. Thatis, T = mgsin + (mgcos)(fric)  (T = force of the tow bar, m=mass, fric = coeff.of friction) T = (55)(9.8)sin25 + (55)(9.8)(cos25)(0.120)    = 286.411231N

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