You have five different springs, each with a unique spring constant. Which of the following schemes should you use to connect the springs in such a way to produce the largest equivalent spring constant possible?

Khufra works at a spring factory and he was assigned to test a certain spring, whose constant is 50 N/m, attached to a 30-kg block in an incline (0=30°). With the spring initially at equilibrium position, the block was pushed 0.5 meters up the incline by a 50-N external force applied parallel to the path. The coefficient of kinetic friction is 0.50. a) draw clearly the FBD of the block. b) How much is the normal force (in Newtons) on the block? c) How much work is done by the spring (in Joules) on the block? d) How much work is done by the block (in Joules) on the spring? e) How much work is done by the applied pull on the block? f) How much work is done by friction?

What's the answer?

(i) If possible, solve for the mass of clay added at z = 0 which will halve the amplitude of oscillation. (j) What is the smallest time to such that the system has equal kinetic and spring potential energy?