To stir a mixture of liquids consistently and gently, abiologist designs a simple mechanical system consisting of ahorizontal spring attached to a beaker on the slippery Teflonsurface. She pours two liquids with a total mass of 100-ginto the beaker, which has a mass of 50.0-g. She then pullson the beaker, stretching the spring. On releasing the beakerfrom rest (t=0), she sets the system in motion with an amplitude of5.00-cm. To avoid spilling and to promote gentle mixing, thefrequency is designed to be exactly 0.300-Hz.
(a) What is the required spring constant?
(b) What is the displacement of the beaker from equilibrium attime t=2.00s?