Rosa has designed a pulley system for a school science project. She has determined that

as the coefficient of friction increases, the efficiency of the pulley decreases. With a

coefficient of friction of 0.2, the efficiency of the pulley is 75%. What would you expect the

efficiency to be if the coefficient of friction increased to 0.3?

Respuesta :

Answer:

Efficiency decreased to 50%

Step-by-step explanation:

Given:

Efficiency, E= 75%

Coefficient of friction = 0.2

Let's use the formula :

[tex]E = \frac{k}{f} [/tex]

Substituting figures, we have :

[tex] 0.75 = \frac{k}{0.2} [/tex]

[tex] k = 0.75 * 0.2 = 0.15 [/tex]

To find the efficiency if the coefficient of friction, f, is increased to 0.3, we have:

[tex]E = \frac{0.15}{f} [/tex]

[tex]E = \frac{0.15}{0.3} [/tex]

E = 0.5 ≈ 50%

If the coefficient of friction is increased to 0.3, the efficiency decreased to 50%