Static and Kinetic Friction: Analyzing a Block's Movement on a Horizontal Table

[rcjroxanne]

Homework Statement

A block whose weight is 30.0 N rests on a horizontal table. A horizontal force of 48 N is applied to the block. The coefficients of static and kinetic friction are 0.650 and 0.420 N, respectively. Will the block move under the influence of the force, and, if so, what will be the block's acceleration?

Homework Equations

force of static friction = mu x normal force = ma
force of kinetic friction = mu of k x normal force

The Attempt at a Solution

i understand how to use both the static and kinetic frictions...but how do i connect the two to answer this question?

 

[G01]

You must know SOMETHING about how to set this problem up. How would the applied force have to relate to static friction force if the block started to move?

 

[laforge]

Draw the forces acting on the block, when it is pushed and try getting your equations from there.