4. As Juan is going to take a shower, the soap falls out of the soap dish on to the

floor and Juan steps on it with a force of 493 N. If Juan slides forward and the

frictional force between the soap and the shower floor is 40 N, what is the

coefficient of friction between the soap and the floor? *

Your answer

Respuesta :

The coefficient of friction between the soap and the floor is 0.081

If Juan steps on the soap with a force of 493 N, this is her weight, W. This weight also equals the normal reaction on the floor, N.

We know that frictional force F = μN where μ = coefficient of friction between soap and floor.

So, μ = F/N

Since F = 40 N and N = W = 493 N,

μ = F/N

μ = 40 N/493 N

μ = 0.081

So, the coefficient of friction between the soap and the floor is 0.081

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