Çözüldü Dynamics - Coefficients of Static and Kinetic Frictions

A test adaptation from the University of Hawaii - Manoa:

If a block initially sits at rest on a horizontal surface where the gravity is g with the coefficients of kinetic and static friction between the block and the surface that are µk and µs respectively, and then the block is pushed with a horizontal force to be dislodged, what is the ratio of the minimum force magnitude required for the block to start sliding to the magnitude of force which can make the block slide with an acceleration a in the direction of the force?
A) µk·g / (a - µs·g)
B) (a + µk·g) / µs
C) (a - µk·g) / µs
D) µs·g / (a + µk·g)
E) (a / µs)·µk·g


https://i.ibb.co/SP0hQY9/Hawaii.png
https://www.phys.hawaii.edu/~nassir/phys151/exams/exam151m2soln10fall.pdf
(Page 2, Questions 6 - 7)

µs·m·g / (m·a + µk·m·g) = µs·g / (a + µk·g).