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