To determine the coefficient of friction, we need to consider the forces acting on the crate. In this case, we have a forward horizontal force of 12 N applied to overcome the friction force and move the crate at a constant velocity.
Let's assume that the coefficient of friction between the crate and the floor is represented by the symbol μ.
The force of friction can be calculated using the equation:
Friction force = coefficient of friction * normal force
The normal force is equal to the weight of the crate, which is given as 240 N in this case.
Since the crate is moving at a constant velocity, the applied force of 12 N must be equal to the force of friction:
12 N = μ * 240 N
Now we can solve for the coefficient of friction (μ):
μ = 12 N / 240 N = 0.05
Therefore, the coefficient of friction between the crate and the floor is 0.05.