Question

One lovely day, a first-year just found a "perfectly good" sofa abandoned on a street corner. Not wanting to see this lovely furniture go to waste, the first-year proceeds to drag it back to his room. He pulls on the sofa forward and upward with a force of magnitude 438 N at an angle of 20.3° above the horizontal. The sofa has a mass of m = 80 kg. The sofa slides across the pavement which has a coefficient of kinetic friction of µ_k=0.24. What is the magnitude of the acceleration of the sofa in the x direction?

Answer 1

Concept - find the friction force and use Newton’s law of motion to find the equation of motion and solve it to find the acceleration as shown below***********************************************************************************************
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