A 25kg chair initially at rest on a horizontal floor requires a 165N horizontal force to set it in motion once the chair is in a 127n horizontal force keeps it moving a a constant velocity

Question

Find the coefficient of kinetic friction between the chair and the floor

Answer 1

To find the coefficient of kinetic friction between the chair and the floor, we can use the equation:

F_friction = μ * F_normal

where F_friction is the force of friction, μ is the coefficient of kinetic friction, and F_normal is the normal force.

First, let's calculate the normal force:

F_gravity = m * g

where F_gravity is the force of gravity, m is the mass of the chair, and g is the acceleration due to gravity.

F_gravity = 25 kg * 9.8 m/s^2 = 245 N

Since the chair is at rest initially, the normal force is equal to the force of gravity:

F_normal = F_gravity = 245 N

Now let's calculate the force of friction when the chair is set in motion:

F_friction = 165 N

We can use this to find the coefficient of kinetic friction:

165 N = μ * 245 N

Dividing both sides by 245 N:

μ = 165 N / 245 N = 0.6735

Therefore, the coefficient of kinetic friction between the chair and the floor is approximately 0.6735.