Acceleration of a block with static & kinetic friction

A 10kg block is at rest on the floor, and then a force of 30 N pushes on the block horizontally. If the coefficient of static friction between the block and the floor is μs= 0.33 and the coefficient of kinetic friction between the block and the floor is μk= 0.20, what is the acceleration of the block, if it slides?
Answer choices:
A. 0.23 m/s^2
B. 1.04 m/s^2
C. 3.00 m/s^2
D. 0.85 m/s^2
E. The block does not slide

The only equation I used was Fx=ma,x. Because the block is not moving in the y direction there is no need to calculate the force in that direction.

Fx=ma,x
μk-μs= (10kg)a
(.20)-(.33)=(10kg) a ======> a= -.13/10 ==> a= -0.13 or E. The block does not slide

Although I obtained an answer I’m not sure that my set up is right and it was more of a lucky guess. Any help is appreciated!

http://ift.tt/1eZFseV

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