As Alan is taking a shower, the soap falls out of the dish and Alan steps on it with a force of 500 N. If Alan slides foward and the frictional force between the soap and the tub is 50 N, what is the coefficient of friction between these two surfaces?

I got .1

Is this correct?

To determine if your answer of 0.1 for the coefficient of friction is correct, let's go through the steps to calculate it:

1. First, let's write down the given information:
- Applied force by Alan on the soap: 500 N (normal force between Alan's foot and the soap)
- Frictional force between the soap and the tub: 50 N (opposing the motion)

2. Now, let's use the formula for frictional force:
Frictional force = Coefficient of friction * Normal force

Plug in the values we know:
50 N = Coefficient of friction * 500 N

3. Rearrange the formula to solve for the coefficient of friction:
Coefficient of friction = Frictional force / Normal force

Substitute the values:
Coefficient of friction = 50 N / 500 N

4. Perform the calculation:
Coefficient of friction = 0.1

So, yes, your answer of 0.1 for the coefficient of friction is correct. Well done!