Finding minimum push force for a table

[leahbender]

Homework Statement

The coefficient of static friction between a static friction and a 20kg table and the floor is 0.29. The coefficient of kinetic friction between the same surfaces is 0.25.
How much minimum push force is required to get the table moving?
How much push force is required to accelerate the table at 2.5 m/s^2?

Homework Equations

w=mg
fk=muk+fn

The Attempt at a Solution

w=20*9.8
w= 196
At this point I'm not exactly sure how to proceed with the problem to find push force. I would appreciate any help greatly!

 

[berkeman]

Homework Statement

The coefficient of static friction between a static friction and a 20kg table and the floor is 0.29. The coefficient of kinetic friction between the same surfaces is 0.25.
How much minimum push force is required to get the table moving?
How much push force is required to accelerate the table at 2.5 m/s^2?

Homework Equations

w=mg
fk=muk+fn

The Attempt at a Solution

w=20*9.8
w= 196
At this point I'm not exactly sure how to proceed with the problem to find push force. I would appreciate any help greatly!

Welcome to the PF.

In problems like this, it is usually best to start by drawing a free body diagram (FBD), showing the forces on the object being moved.

On your FBD, be sure to show all vertical and horizontal forces on the table, including the pushing force, the retarding friction force, and the weight of the table. Which version of the friction coefficient should you use for the first part of the problem when the table is not moving? What about for the moving part of the question?