A 1.45-kg block is pushed against a vertical wall by means of a spring (k = 860 N/m). The coefficient of static friction between the block and the wall is 0.36. What is the minimum compression in the spring to prevent the block from slipping down? g

The minimum compression in the spring is  

Explanation:

From the question we are told that

                     The mass of the block is

                     The spring constant is

                      The coefficient of static friction is  

The mathematical relationship between the wight of the block and the force exerted by the spring is    

Where is mathematical represented as and

            is mathematically represented as

Where d is minimum length of compression in the spring to prevent the block from slipping

              Now the relation can be wrtten as

making d the subject we have

the answer is a. hope this .