Question

What are the coefficients of static and kinetic friction between m1 and the horizontal surface?

1) 0.50 and 0.30
2) 0.30 and 0.50
3) 0.50 and 0.50
4) 0.30 and 0.30

Answer 1

To determine the coefficients of static (μs) and kinetic (μk) friction between m1 and the horizontal surface, we use the fact that μk is always less than μs. The correct answer is option 1, with μs as 0.50 and μk as 0.30.

Step-by-step explanation:

The question asks about the coefficients of static and kinetic friction between an object, labeled m1, and the horizontal surface on which it rests. These coefficients are unitless values that represent the frictional resistance between two surfaces. The coefficient of static friction (μs) is the ratio of the maximum static frictional force to the normal force, and it must be overcome to initiate movement. The coefficient of kinetic friction (μk) is the ratio of the kinetic frictional force to the normal force and applies once the object is in motion, typically being lower than μs.

From the information provided, we understand that kinetic friction is always less than static friction due to the materials involved and how they interact when in motion as opposed to being stationary. Given the multiple choice options provided and knowing that the kinetic coefficient is lower, the correct choice would be "1) 0.50 and 0.30" where μs is 0.50 and μk is 0.30.