For your Force on spring (y-axis) vs Change in Length (x-axis) graph, determine:
What is the mathematical meaning of your slope and your y-intercept
Write the mathematical equation showing the relationship between Force and elongation.
1. The mathematical meaning of your slope and your y-intercept
A graph of Force on spring (y-axis) vs Change in Length (x-axis), will have a slope equal to the spring constant.
the y-intercept will lead to the initial force of the spring or the force of the spring when the displacement / change in length of the spring is zero(0).
2. the mathematical equation showing the relationship between Force and elongation.
Hooke's law ia a law that states the force on a spring is directly proportional to the change in the length of the spring.
where k is the proportionality constant known as the spring constant and the negative sign indicates the direction of the spring.
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