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11th grade Physics - Dynamics; friction

Overview

A stationary 64 kg box in an elevator is being pushed horizontally with a force of 500 N while also accelerating upward at 2.5 m/s^2. The coefficients of friction are μs = 0.70 and μk =0.35.

a) will the box move horizontally? Why or why not?

b) If the push is increased to 600 N, determine the horizontal acceleration of the box once it is moving.