our lab partner wears a new pair of sneakers to lab and, rather than performing the required experiments, you decide to measure the coefficient of static friction they make with the lab floor. Your partner reports her mass to be 59.0 kg. Hooking up an industrial force sensor to your interface you give your partner a piece of rope attached to the sensor and begin to pull. When the sensor reads 318.3 N your partner starts to slip. Determine the coefficient of static friction between your partner and the floor.

Respuesta :

Answer:

The coefficient of static friction between your partner and the floor is 0.55

Explanation:

Given:

Mass [tex]m = 59[/tex] Kg

Frictional force [tex]F_{s} = 318.3[/tex] N

From the formula of frictional force,

 [tex]F_{s} = \mu_{s} mg[/tex]

Where [tex]\mu _{s} =[/tex] coefficient of static friction, [tex]g = 9.8 \frac{m}{s^{2} }[/tex]

Put the above values and find the coefficient of static friction.

[tex]318.3 = \mu_{s} \times 59 \times 9.8[/tex]

[tex]\mu_{s} = 0.55[/tex]

Therefore, the coefficient of static friction between your partner and the floor is 0.55

The coefficient of static friction between your partner and the floor is 0.551.

Calculation of the coefficient of static friction:

Since m = mass = 59 kg

fs = static friction force = 318.3

We know that the frictional force is given as

fs = \mus mg

318.3 = \mus (59 x 9.8)

\mus = 0.551

hence, we can conclude that The coefficient of static friction between your partner and the floor is 0.551.

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