Finding minimum push force for a table

AI Thread Summary
To determine the minimum push force required to move a 20kg table with a static friction coefficient of 0.29, the weight of the table is calculated as 196 N. The static friction force must be overcome, which is found using the formula for static friction. For acceleration at 2.5 m/s², the kinetic friction coefficient of 0.25 will be used to calculate the necessary push force. A free body diagram is recommended to visualize all forces acting on the table, including the applied push force and friction. Understanding the difference between static and kinetic friction is crucial for solving both parts of the problem.
leahbender
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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!
 
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leahbender said:

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?
 

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