Answer:
Friction between the box and the floor is 25N to the left.
Explanation:
According to Newton's second law of motion, the net force acting on an object is equal to the produce between the object's mass and its acceleration:
[tex]F_{net}=ma[/tex]
where
m is the mass of the object
a is its acceleration
In this problem, we have two forces acting on the object:
- The applied force, F = 25 N, to the right
- The force of friction [tex]F_f[/tex], opposing the motion of the box, so to the left
So we can write the net force as
[tex]F_{net}=F-F_f[/tex]
Also, we know that the box is moving at constant speed: this means its acceleration is zero, so
[tex]a=0[/tex]
Therefore
[tex]F_{net}=0[/tex]
WHich means:
[tex]F-F_f=0[/tex]
And therefore,
[tex]F_f=F=25 N[/tex]
which means that the force of friction is also 25 N.
