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A 33.00 kg mass is attached to a spring with spring constant k. The period of oscillation is 3.50 s. There is negligible friction.

 

A 33.00 kg mass is attached to a spring with spring constant k. The period of oscillation is 3.50 s. There is negligible friction. Initially it lies at rest at the origin. At t = 0, it is given a quick and hard 'tap' from a hammer, setting it into motion. At t = 0, the position is zero: x(0) = 0 and the speed is 2.75 m/s: v(0) = +2.75 m/s. sooooo 2.75 m/s Equilibrium, x = 0 +x include + or - as needed 0. determine the equation of motion (this requires finding A and wo) 1. What is k? 2. What is the position at t = 9.00 s? 3. What is its velocity (speed and direction) at 9.00 s? 4. What acceleration and force does it have at t = 9.00 s? 5. What is the energy in this system at t = 9.00 s? What is the kinetic energy of the system at t = 9.00 s? What is the potential energy of the system at t = 9.00 s?

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