Question

You hang a mass of1.00 kg on a spring and it stretches 0.098 m.
You now place the mass - spring system on a horizontal frictionlesssurface in the equilibrium position.
You next compress the spring 0.10 m, release it and the systembegins to oscillate.
We agree to start the record of time the first time the mass goesthrough the equilibrium position with a negative velocity.

Determine

1. Spring constant, 2. Linear frequency of the spring,3. Periodof oscillation of the spring,

An exact expression for the:

4) position of the oscillating mass at any time; 5) velocity of the oscillating mass at any time; 6) acceleration ofthe oscillating mass at any time; 7) force acting onthe oscillating mass at any time; 8) kineticenergy of the oscillating mass at any time; 9)potential energy of the spring at any time; 10) total mechanical energy of the mass-spring system at anytime

11. Position of the mass at t = T/4; 12) Velocity of themass at t= T/2

13. Acceleration of the mass at T = 3T/4

14. Position, velocity, and acceleration of the mass at t= 0.30s