How Does Kinetic Friction Affect Acceleration and Speed of a Block?

[jrk613]

Homework Statement

A 4.94 kg block located on a horizontal floor is pulled by a cord that exerts a force F = 12.1 N at an angle θ = 15.0° above the horizontal, as shown in the Figure.

The coefficient of kinetic friction between the block and the floor is 0.100. What is the speed of the block 3.70 s after it starts moving?

Homework Equations

F=ma

The Attempt at a Solution

I understand to find the acceleration I need F=ma, so cos(15)12.1 = 4.94(a).
And I know that when I find the (a), I can just * the 3.7 seconds. I just don't know where to fit in the kinetic friction of 0.1. I'm guessing it has to be minus from the total F but something isn't going right, any ideas, thanks

 

[semc]

Erm not exactly...draw the free body diagram and resolve the x and y component of the force applied and you can find the static friction by using uN where u is static coefficient and N is the normal force on the block.