A box weighing 600 N is pushed along a horizontal floor at a constant velocity with a force of 250 N parallel to the floor. What is the coefficient of Kinetic friction between the box and the floor?
To determine the coefficient of kinetic friction between the box and the floor, we need to use the following formula:
F_friction = μ_k * N
Where:
- F_friction is the force of friction
- μ_k is the coefficient of kinetic friction (what we're looking for)
- N is the normal force
First, let's find the normal force. The normal force is equal to the weight of the box, which is 600 N in this case since it is on a horizontal floor.
Next, we need to find the force of friction. Since the box is moving at a constant velocity, we know that the force of friction is equal to the applied force in the opposite direction.
In this case, the applied force is 250 N, so the force of friction is also 250 N.
Now we can rearrange the formula to solve for the coefficient of kinetic friction:
μ_k = F_friction / N
Plugging in the values we know:
μ_k = 250 N / 600 N
μ_k = 0.417
Therefore, the coefficient of kinetic friction between the box and the floor is approximately 0.417.
To find the coefficient of kinetic friction between the box and the floor, you can use the formula:
frictional force = coefficient of kinetic friction * normal force.
The normal force is the force exerted by the floor on the box, which is equal to the weight of the box (since it is on a horizontal floor and not accelerating). In this case, the weight of the box is given as 600 N.
The frictional force is equal to the applied force, since the box is moving at a constant velocity. In this case, the applied force is given as 250 N.
Plugging these values into the formula, we get:
250 N = coefficient of kinetic friction * 600 N.
Now, we can solve for the coefficient of kinetic friction:
coefficient of kinetic friction = 250 N / 600 N.
Evaluating this expression, we find:
coefficient of kinetic friction ≈ 0.4167.
So, the coefficient of kinetic friction between the box and the floor is approximately 0.4167.