What equation do you use to find the coefficient of kenetic friction

The formula is µ = f / N, where µ is the coefficient of friction, f is the amount of force that resists motion, and N is the normal force. Normal force is the force at which one surface is being pushed into another. If a rock that weighs 50 newtons is lying on the ground, then the normal force is that 50 newtons of force. The higher µ is, the more force resists motion if two objects are sliding past each other.

does that equation work for

both kinetic and static friction

yes, it works for both situations.

To find the coefficient of kinetic friction, you can use the following equation:

μ = Fk / N

where:
μ is the coefficient of kinetic friction,
Fk is the force of kinetic friction,
N is the normal force.

To determine the coefficient of kinetic friction, you need to know the force of kinetic friction and the normal force acting on the object.

The force of kinetic friction, Fk, is the force that opposes the motion of an object when it is in motion. It can be calculated using:

Fk = μk * N

where:
μk is the coefficient of kinetic friction,
N is the normal force.

The normal force, N, is the force exerted by a surface to support the weight of an object resting on it. It acts perpendicular to the surface. The value of the normal force depends on the weight of the object and the angle of the surface, if applicable.

Once you have the values for Fk and N, you can substitute them into the equation μ = Fk / N to find the coefficient of kinetic friction, μ.

It's worth mentioning that the coefficient of kinetic friction is a dimensionless quantity that depends on the nature of the two surfaces in contact. It represents the ratio of the force of friction to the normal force and can vary depending on the materials involved.