A spring (k = 100 N/m), which can be stretched or compressed, is placed on a frictionless table. A 5.00-kg mass is attached to one end of the spring, and the other end is anchored to the wall. The equilibrium position is marked at zero. A student moves the mass out to x = 4.0 cm and releases it from rest. The mass oscillates in simple harmonic motion. (a) Determine the function x(t). (b) Find the magnitudes of maximum velocity and maximum acceleration. (c) Find the total energy of the oscillator. (d) Find the position, velocity, and acceleration of the mass at time t = 3.00 s.
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