Finding acceleration of an object on a horizontal surface

AI Thread Summary
To find the acceleration of a 59 kg box on a horizontal surface with static and kinetic friction coefficients of 0.66 and 0.37, the applied force must exceed the maximum static friction for the box to start moving. For a 330 N force, the box remains stationary since it does not overcome static friction, resulting in zero acceleration. When a 485 N force is applied, it surpasses the static friction threshold, allowing the box to accelerate. The kinetic friction then comes into play, and the net force can be calculated to determine acceleration using F=ma. The calculations confirm that the box accelerates under the 485 N force.
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Homework Statement



The coefficients of static and kinetic friction between a 59 kg box and a horizontal surface are 0.66 and 0.37, respectively.

(a) What is the acceleration of the object if a 330 N horizontal force is applied to the box?

(b) What is the acceleration if the applied force is 485 N

Homework Equations



F=ma, coefficent of friction equations

The Attempt at a Solution



I tried using the equations

but I am not really sure how they are supposed to be used
 
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Is this applied to the box at rest? in that case the applied force has to be greater than the max Static Friction for the box to have any acceleration.
 

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