Question

You want to move a 41-kg bookcase to a different place in the living room. If you push with a force of 65 N and the bookcase accelerates at 0.12 m/s2, what is the coefficient of kinetic friction between the bookcase and the carpet?

Answer 1

To find the coefficient of kinetic friction between the bookcase and the carpet, use the equation frictional force = coefficient of kinetic friction * normal force.

Step-by-step explanation:

To find the coefficient of kinetic friction between the bookcase and the carpet, we can use the equation:

frictional force = coefficient of kinetic friction * normal force

The normal force is equal to the weight of the bookcase, which is the mass of the bookcase multiplied by the acceleration due to gravity. Using the equation:

normal force = mass * gravity

Substituting the known values into these equations, we can solve for the coefficient of kinetic friction.

Answer 2

The coefficient of kinetic friction can be calculated using the formula μk = Ff/Fn, where Ff is the frictional force and Fn is the normal force. In this case, the normal force is equal to the weight of the bookcase, which is 41 kg x 9.8 m/s2 = 403.8 N. The frictional force is equal to the pushing force, which is 65 N. Therefore, the coefficient of kinetic friction is μk = 65/403.8 = 0.16.