- #1

perryrb

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A box weighing 200N is lifted 2.0 meters up a ramp using 350N. 76% of the work moves the box and 24% of the work overcomes the force of friction between the box and the ramp. What is the length of the ramp?

Work in the y-axis is conserved = 200N x 2.0 meters = 400 J

Work due to friction is not conserved but can be calculated

Total Work (x and y) = 400 J / 0.76 = 526.32 J

Work due to friction is 126.32 J

Length of ramp = 126.32 J / Force of friction

Length of ramp = 126.32 J / Uf x 200N x cos(angle between gravity and normal of the ramp)

Is this correct? How do I calculate the length of the ramp?