Physics: Calculate x(t), T & Kinetic Energy, Find Force & Direction of Block

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A block of mass 0.5kg moving on a horizontal frictionless surface at 2.0 m/s collides with and sticks to a massless pan attached to the end of a horizontal ideal spring whose spring constan is 32 N/m.
a) Determine the function for x(t), the displacement from equilibrium position as a function of time.
b) What is the period T, of the subsequent oscillations?
c) What is the kinetic energy of the mass 4.0 sec after it collides with the spring?
d) What force is exerted by the spring on the block at t=1.2 sec? Which way is the block moving? Explain
 
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