A 4.0 kilogram mass is attached to a spring that has a spring constant, k=2500 N/m, and is resting on a frictionless horizontal surface. The spring is stretched by pulling on the mass until the amount of potential energy in the spring is 4.5 Joule. The block is then released and oscillates in simple harmonic motion.
1. Calculate the amplitude of the oscillation?
2. Calculate the maximum velocity of the block?
3. Calculate how long does it take for the block to go from maximum spring length to minimum spring length?
4. Calculate the velocity of the mass when it is 1.5 centimeter from the spring's equilibrium point?