Sunday, October 16, 2016

05-Oct, 2016 . Lab #12: Conservation of Energy--- Mass-Spring System

Lab #12: Conservation of Energy--- Mass-Spring System
Dahlia - Ariel - Carlos
05-Oct-2016


The purpose of the lab#12 is help students recognize that the energy is conservative.
I. Set up:
- There was a spring with a constant K ( which was defined at the period lab- lab #11) hanged above a motion sensor.
- There was a motion sensor was stayed at the ground.
- There was a mass was hang at the end of the spring.
- The motion sensor connected with a log pro to recorded the position, velocity and acceleration of the mass when the mass moving up and down.
II. Calculate energy existing in system.
When the hanged mass  at the spring was moving, there was 5 kinds of energy exist: 
- Gravity of hanging mass
- Kinetic energy of hanging mass
- Gravity of spring
- Kinetic energy of spring
- Elastic potential energy of spring
Now, I had to use calculus to find formulas of all 5 energies
first, find Gravity of hanging mass
So, 
Now, to finding kinetic energy of spring
and others energies were just basic formulas. Thus, I had total 5 formulas:
III. Graph
I entered 5 formulas into log pro, Then, I let the hanging mass moved and started recording position and velocity of hanging mass.
This was data I measured.
K was the constant of spring I had from the period lad.
mass of string and mass of hanging mass were measured by a scale.
Height of the hanging mass was measured by a rule.
this was velocity and position that log pro recorded 
with value of energies:

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