Slope of Kinetic vs Potential(Spring)

  • Thread starter Thread starter youknow789
  • Start date Start date
  • Tags Tags
    Kinetic Slope
Click For Summary
SUMMARY

The slope of the graph representing X^2max - X^2 versus v^2 in the context of a spring and glider experiment indicates the relationship between kinetic and potential energy. Specifically, the slope corresponds to the spring constant divided by two, reflecting the conservation of mechanical energy in the system. The correct placement of v^2 on the y-axis is essential for accurately interpreting the slope's significance in this analysis.

PREREQUISITES
  • Understanding of Hooke's Law and spring constants
  • Familiarity with kinetic and potential energy concepts
  • Basic knowledge of graphing techniques in physics
  • Ability to manipulate and analyze quadratic equations
NEXT STEPS
  • Study the derivation of the conservation of mechanical energy in spring systems
  • Learn how to graph quadratic relationships in physics experiments
  • Explore the implications of Hooke's Law on energy transformations
  • Investigate the significance of slope in various physics graphs
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and energy conservation, as well as educators seeking to clarify concepts related to kinetic and potential energy in spring systems.

youknow789
Messages
6
Reaction score
0

Homework Statement


Been trying the last few hours to figure out what the slope of a kinetic vs potential graph means. I did a lab this past week dealing with springs and a glider. Was asked to graph a X^2max-x^2 vs v^2 graph. Made the graph but have no idea what the slope means.



Homework Equations





The Attempt at a Solution


Solved for total mechanical energy and change in potential energy and still do not know what slope means. Maybe I put them on the wrong x-y axis. Right now I have v^2 on the y axis. Can somebody please point me in the right direction.
 

Attachments

  • X(max)^2- x(m)^2 vs vs V^2.JPG
    X(max)^2- x(m)^2 vs vs V^2.JPG
    25.6 KB · Views: 621
Physics news on Phys.org

Similar threads

Experimentally calculating the acceleration due to gravity
  • · Replies 13 ·
Replies
13
Views
3K
Slope of Force vs Frequency^2 and Radius vs Period^2 Graphs
  • · Replies 6 ·
Replies
6
Views
8K
Using Momentum, KE and PE to solve this skier velocity problem
  • · Replies 13 ·
Replies
13
Views
3K
Capacitance vs. Inverse Distance Graph's Slope
  • · Replies 2 ·
Replies
2
Views
5K
A rocket on a spring, related to potential/kinetic energy
  • · Replies 3 ·
Replies
3
Views
2K
Classic Incline problem with cylinder
  • · Replies 13 ·
Replies
13
Views
1K
Slope of position vs time squared graph?
  • · Replies 2 ·
Replies
2
Views
13K
Finding the slope of a log-log graph?
  • · Replies 11 ·
Replies
11
Views
6K
Comparing slopes and accelerations in a graph
  • · Replies 5 ·
Replies
5
Views
2K
A ball climbing a ramp while "rolling the wrong way"
  • · Replies 32 ·
2
Replies
32
Views
3K