A worker pushes a crate across a level concrete floor by exerting a constant…

PHYSICS · Multi-part · AP · Physics 1: Algebra-based · Force and Translational Dynamics · Force and Translational Dynamics

Problem

A worker pushes a 5.0 kg5.0\,\text{kg} crate across a level concrete floor by exerting a constant horizontal force of 25 N25\,\text{N} toward the right. The coefficient of static friction between the crate and the floor is 0.400.40, and the coefficient of kinetic friction is 0.300.30. (a) Calculate the weight of the crate and the normal force exerted on it by the floor while the worker is pushing. (b) Determine the maximum possible static friction force that the floor can exert on the crate. (c) Indicate whether the crate moves. Support your answer with quantitative reasoning. (d) For the actual motion that occurs, find both the magnitude and direction of the friction force acting on the crate and calculate the resulting acceleration. Include appropriate units for all quantities.

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