A block connected to a horizontal spring is in simple harmonic motion on a level, frictionless surface, oscillating with amplitude A around x = 0. Identify whether each of the following statements is true or false:

(a) If x = ±A then |v|=|vmax| and |a|=|amax|.
(b) If x = 0 then |v|=|vmax| and |a|= 0.
(c) If v > 0 then a < 0.
(d) If x > 0 then a < 0.
(e) If x > 0 then v > 0.

Suppose a force of 60 n is required to stretch and hold a spring 0.1 m from its equilibrium position. a. assuming the spring obeys hooke's law, find the spring constant k. b. how much work is required to compress the spring 0.5 m from its equilibrium position? c. how much work is required to stretch the spring 0.6 m from its equilibrium position? d. how much additional work is required to stretch the spring 0.1 m if it has already been stretched 0.1 m from its equilibrium? a. kequals 600