A small cart of mass is pushed to the right across a horizontal track by a constant…

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Force and Translational Dynamics · Force and Translational Dynamics

Problem

A small cart of mass mm is pushed to the right across a horizontal track by a constant force FpF_p applied by a rod connected to a motor. Simultaneously, a string pulls on the cart with a force TT that is directed upward and to the left, making an angle ϕ\phi above the horizontal. The coefficient of kinetic friction between the cart and the track is μk\mu_k. Which of the following descriptions best represents a correct free-body diagram for the cart? (a) Rightward push FpF_p; vertical upward tension TT; weight downward; normal force upward; kinetic friction leftward (b) Rightward push FpF_p; upward-left tension TT at angle ϕ\phi; weight downward; normal force upward; kinetic friction leftward (c) Rightward push FpF_p; upward-left tension TT at angle ϕ\phi; weight downward; normal force upward; kinetic friction rightward (d) Rightward push FpF_p; upward-left tension TT at angle ϕ\phi; weight downward; kinetic friction leftward

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