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For your Force on spring (y-axis) vs Change in Length (x-axis) graph, determine: What is the...

For your Force on spring (y-axis) vs Change in Length (x-axis) graph, determine:

  1. What is the mathematical meaning of your slope and your y-intercept

  2. Write the mathematical equation showing the relationship between Force and elongation.

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Answer #1

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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