The magnitude of the force of friction is 40 N
Explanation:
To solve the problem, we just have to analyze the forces acting on the student and the scooter along the horizontal direction. We have:
- The constant pushing force forward, of magnitude F = 40 N
- The frictional force, acting backward, ![F_f](https://tex.z-dn.net/?f=F_f)
Since the two forces are in opposite direction, the equation of motion is
![F-F_f = ma](https://tex.z-dn.net/?f=F-F_f%20%3D%20ma)
where
m is the mass of the student+scooter
a is the acceleration
However, here the scooter is moving at constant speed: this means that its acceleration is zero, so
a = 0
And therefore,
![F - F_f = 0\\F_f = F](https://tex.z-dn.net/?f=F%20-%20F_f%20%3D%200%5C%5CF_f%20%3D%20F)
which means that the magnitude of the force of friction is also equal to 40 N.
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