Question

A box is pulled 6 meters across the ground at a constant velocity by a horizontally applied force of 50 newtons. At the same time, kinetic friction acts on the box as it slides so that it eventually stops when the pulling force stops. What is the magnitude of the frictional force

Answer 1

The magnitude of the frictional force is 50 newtons.

Step-by-step explanation:

The frictional force can be found as follows:

`\Sigma F = ma`

`F - F_(\mu) = ma`

Where:

F: is the applied force = 50 N

`F_(\mu)`: is the frictional force

m: is the box's mass

a: is the acceleration

Since the box is pulled at a constant velocity, a = 0, so:

`F - F_(\mu) = 0`

`F = F_(\mu) = 50 N`

Therefore, the magnitude of the frictional force is equal to the applied force, that is to say, 50 newtons.

I hope it helps you!