Once a 26 kg crate is in motion on a horizontal

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To find the coefficient of kinetic friction (µk) between the crate and the floor, you can use the following equation:

µk = Fk / (m * g)

where:
- µk is the coefficient of kinetic friction
- Fk is the force of kinetic friction
- m is the mass of the crate
- g is the acceleration due to gravity

In this case, the force of kinetic friction (Fk) is equal to the force that keeps the crate moving with a constant velocity. Thus, Fk = 64 N.

The mass of the crate (m) is given as 26 kg.

The acceleration due to gravity (g) is given as 9.81 m/s².

Now, substitute the values into the equation:

µk = Fk / (m * g)
= 64 N / (26 kg * 9.81 m/s²)

Using a calculator, you can find the value of µk by dividing 64 N by the product of 26 kg and 9.81 m/s².