Once a 26 kg crate is in motion on a horizontal
floor, a horizontal force of 64 N keeps the crate
moving with a constant velocity.
The acceleration of gravity is 9.81 m/s
2
.
What is µk, the coefficient of kinetic friction, between the crate and the floor?
2 years ago
11 months ago
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.