# How to Find Force of Friction and Acceleration?

## Homework Statement

Hey, guys I'm having trouble solving this problem, I'm not sure what to do first
This is the info it gives:
A stationary 15 kg object is located on a table near the surface of the earth. The coefficient of static friction between the surfaces is 0.40 and the coefficient of kinetic friction is 0.25.
This is the problem:
A horizontal force of 20 N is applied to the object.
A)Determine the force of friction.
B)Determine the acceleration of the object.

F=MA
F=uN
W=MG

## The Attempt at a Solution

For this part A of this problem I wasn't sure if this was right but what I did was I first found the weight which is 15x9.81=147.15 I then got confused since the problem gives coefficient of static and kinetic since I thought the object was moving I used the formula F=uN and used the coefficient of kinetic friction so .25 times the weigh 147.15 and then I got 36.7875 I'm not sure if this is the right answer for part b to find the force of friction.

For part B of this problem I completely don't know what to do I thought that 20N was a force I can plug in for F=MA so I thought I can divide 20 by 15 which is the weight to find acceleration

haruspex
Homework Helper
Gold Member
2020 Award
When a force is applied to an object that is in resting contact with a surface, the first question is whether it will move relative to the surface. For that you must use the static coefficient. The static coefficient tells you the maximum frictional force available. The actual frictional force will never exceed the net of the other applied forces.
If the static frictional force is insufficient to withstand the net applied force, then the object will move and the frictional force should be calculated using the kinetic coefficient.

When a force is applied to an object that is in resting contact with a surface, the first question is whether it will move relative to the surface. For that you must use the static coefficient. The static coefficient tells you the maximum frictional force available. The actual frictional force will never exceed the net of the other applied forces.
If the static frictional force is insufficient to withstand the net applied force, then the object will move and the frictional force should be calculated using the kinetic coefficient.
I get part A of my problem but now how do I find the acceleration of the object?

haruspex