A crate is pulled across a horizontal floor at constant speed by a rope that makes a…

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

Problem

A 10 kg10\,\text{kg} crate is pulled across a horizontal floor at constant speed by a rope that makes a 30∘30^{\circ} angle above the horizontal. The rope’s tension is 60 N60\,\text{N}. A student draws the following forces on the crate: weight 98 N98\,\text{N} downward, normal force 98 N98\,\text{N} upward, friction force 20 N20\,\text{N} opposite the motion, and the tension force of 60 N60\,\text{N} along the rope. The student claims the diagram shows the crate in translational equilibrium. Which of the following best evaluates the student’s claim? (a) The diagram is correct; the forces balance in both horizontal and vertical directions. (b) The diagram is incorrect; to maintain constant speed, the friction force must be about 60 N60\,\text{N}, not 20 N20\,\text{N}. (c) The diagram is incorrect because the normal force should be less than 98 N98\,\text{N} when the rope pulls upward. (d) The diagram is incorrect; the weight of the crate is effectively reduced by the upward pull, so it should be less than 98 N98\,\text{N}.

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