->>F=umg ->>600=u×100×10 ->>u=0.6 ->>coefficient of friction(u)=0.6....I'm not sure about the answer..but if im wrong plzz kindly tell me...i took g=10..if u dont find answer put g=9.8.... HOPE U GOT IT...

Calculating the Coefficient of Friction

To calculate the coefficient of friction between a floor and a box, we need to use the equation:

Coefficient of friction (μ) = Force of friction (F) / Normal force (N)

In this scenario, the normal force acting on the box is equal to its weight, which can be calculated using the equation:

Weight (W) = mass (m) x gravitational acceleration (g)

Given that the box weighs 100 kg, and the gravitational acceleration is approximately 9.8 m/s², we can calculate the weight of the box:

Weight (W) = 100 kg x 9.8 m/s² = 980 N

Determining the Force of Friction

The force of friction is the minimum force required to start the box moving, which is given as 600 N in this case.

Calculating the Coefficient of Friction

Now we can substitute the values into the equation to find the coefficient of friction:

Coefficient of friction (μ) = Force of friction (F) / Normal force (N)

Coefficient of friction (μ) = 600 N / 980 N

Coefficient of friction (μ) ≈ 0.612

Interpreting the Result

The coefficient of friction between the floor and the box is approximately 0.612. This value represents the ratio of the force of friction to the normal force.

The coefficient of friction ranges from 0 to 1, with lower values indicating less resistance to motion and higher values indicating more resistance. In this case, the coefficient of friction is greater than 0, indicating that there is some resistance between the box and the floor.

The coefficient of friction can vary depending on the materials of the box and the floor, as well as any other factors that might affect the frictional force, such as the presence of lubrication or surface roughness.

It is important to note that the coefficient of friction can be different for static friction (when the box is at rest) and kinetic friction (when the box is in motion). In this case, we have calculated the coefficient of static friction, as we are determining the minimum force required to start the box moving.