When you try to walk too fast on a slippery floor, you slip because walking fast requires you to exert a greater frictional force against the floor than the surface allows. What is the maximum frictional force you can exert against the floor with one foot that bears your full weight of 555 N, if μs = 0.19?

You will find the answer by writing down the definition of μs, and setting it equal to 0.19

(max friction force)/weight = μs = 0.19

To find the maximum frictional force you can exert against the floor, we can use the equation:

Ff = μs * Fn

Where Ff is the frictional force, μs is the coefficient of static friction, and Fn is the normal force.

In this case, the normal force acting on the foot is equal to your weight, which is given as 555 N.

Therefore, the maximum frictional force can be calculated as:

Ff = 0.19 * 555 N

Ff = 105.45 N

So, the maximum frictional force you can exert against the floor with one foot is 105.45 N.

To determine the maximum frictional force you can exert against the floor, we need to use the coefficient of static friction (μs) provided in the question.

The formula to calculate the maximum static frictional force (Fmax) is:

Fmax = μs * N

Where:
- Fmax represents the maximum static frictional force
- μs is the coefficient of static friction
- N is the normal force, which in this case is the weight (555 N) as the foot bears your full weight.

Plugging in the values:

Fmax = 0.19 * 555 N

Calculating it:

Fmax = 105.45 N

Therefore, the maximum frictional force you can exert against the floor with one foot is approximately 105.45 N.