Question

Question #024c9

Answer 1

Spring constant = 31,416 N/m
Kinetic energy at equilibrium position = 628 mJ
Displacement when v = 3,14 m/s = 93 mm
Speed when displacement = 0,15 m = 2,343 m/s

Explanation:

We may use an equation for uniform harmonic oscillation to find the spring stiffness constant.
We may then use the law of conservation of mechanical energy to find the rest of the required quantities. (Sum of spring energy and kinetic energy is always constant at all points of the motion).
The full details are in the attached sketch.