Calculating conservation of Energy, Frictionless Oscillatory Motion

[mgazaway72106]

Homework Statement

Use energy to show whether or not the data agrees with the law of conservation and explain.

Mass-.3105kg spring constant-6.412 Equailibrium position-1.082
Max positive postion (1) farthest distance to the right of the equlibrium position
time-3.70s postion-1.303m Velocity-0.101m/s
Min positive position (2) farthest distance to the left of the equilibrium postion
time 4.40s postion .861m Velocity .061m/s
Max Velocity (3) near the equilibrium positon
time- 4.0s position-1.114m Velocity .981m/s

Homework Equations

http://en.wikipedia.org/wiki/Simple_harmonic_motion
I am in algebra based physics and haven't gone over a lot of the variables that are used in these equations. But I used the simple harmonic equations I added the kenetic to the potential in the spring. then set it equal to the potential in spring multiplied by time.
Ke+Pe=Pe(t3)

The Attempt at a Solution

.5mv2+.5kx2=.5kx2t3
my numbers ended up being
2.11=2.51
is this correct?

 

[Nate810]

No, this is not correct. The equation you used is incorrect - the equation for simple harmonic motion is x(t) = A cos(ωt + φ), where A is the amplitude of the motion, ω is the angular frequency, and φ is the phase shift. You need to use this equation to solve for the position and velocity of the object at each point.