83.3k views
0 votes
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?

1 Answer

0 votes

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.

User MichaelsonBritt
by
8.5k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.