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?

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter5: Newton's Laws Of Motion
Section: Chapter Questions
Problem 40PQ: A sleigh is being pulled horizontally by a train of horses at a constant speed of 8.05 m/s. The...
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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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