A box started at rest but was moved at a speed of 5 m/s. It was pushed 3 meters up a 60° ramp. The box weighs 5.6 kg. The coefficient of kinetic friction is 0.24.  Assuming the force points up the ramp, what is the magnitude of the force?

Glencoe Physics: Principles and Problems, Student Edition
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ISBN:9780078807213
Author:Paul W. Zitzewitz
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Chapter5: Displacement And Force In Two Dimensions
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A box started at rest but was moved at a speed of 5 m/s. It was pushed 3 meters up a 60° ramp. The box weighs 5.6 kg. The coefficient of kinetic friction is 0.24.  Assuming the force points up the ramp, what is the magnitude of the force?

Expert Solution
Step 1

The mass of the box is m = 5.6 kg.

The inclination of the plane with the horizontal is θ = 60 degrees.

The initial velocity of the box is u = 0 m/s.

The final velocity of the box is v = 5 m/s.

The box is moved by a distance s = 3 m.

Assume the acceleration of the box is denoted by a.

Assume a force F is applied to push the block up the plane.

Assume the acceleration due to gravity of Earth is g = 9.80 m/s2.

The coefficient of kinetic friction between the box and surface of plane is µk = 0.24.

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