Answer to Question #240383 in Physics for Morgan Hopkin

Question #240383

A crate at rest with a mass of 77 kg is being pushed by a force of 610 N. If the coefficient of kinetic friction between the crate and the floor is 0.34, determine how fast the crate will accelerate, and how far the crate will travel in 3.7 seconds.

Be sure to include a free-body diagram in your solution.


1
Expert's answer
2021-09-24T09:26:56-0400

According to Newton's second law:


a=Fnetm=Ffm=Fμmgm=Fmμg=7.59 m/s.a=\frac{F_\text{net}}{m}=\frac{F-f}{m}=\frac{F-\mu mg}{m}=\frac Fm-\mu g=7.59\text{ m/s}.

The distance is


d=at22=7.593.722=52.0 m.d=\frac{at^2}2=\frac{7.59·3.7^2}{2}=52.0\text{ m}.

The free-body diagram:


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