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A 46 kg student sitting on a hardwood floor does not slide until pulled by a 217 N horizontal force. Determine the coefficient of static friction between the student and the floor?

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Final answer:

To determine the coefficient of static friction between the student and the floor, we need to use the equation F_friction = mu_static * N, where F_friction is the force of friction, mu_static is the coefficient of static friction, and N is the normal force. Given that the student has a mass of 46 kg and is pulled by a horizontal force of 217 N, we can find the normal force: N = m * g = 46 kg * 9.8 m/s^2 = 450.8 N. Substituting the values into the equation, we can solve for the coefficient of static friction: mu_static = F_friction / N = 217 N / 450.8 N = 0.481. Therefore, the coefficient of static friction between the student and the floor is approximately 0.481.

Step-by-step explanation:

To determine the coefficient of static friction between the student and the floor, we need to use the equation:

Ffriction = μstatic * N

where Ffriction is the force of friction, μstatic is the coefficient of static friction, and N is the normal force.

Given that the student has a mass of 46 kg and is pulled by a horizontal force of 217 N, we can find the normal force:

N = m * g = 46 kg * 9.8 m/s2 = 450.8 N

Substituting the values into the equation, we can solve for the coefficient of static friction:

μstatic = Ffriction / N = 217 N / 450.8 N = 0.481

Therefore, the coefficient of static friction between the student and the floor is approximately 0.481.

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