Answered: Table: Spring Constant of Spring 2 Mass…

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter15: Oscillations

Section: Chapter Questions

Problem 35P: When an 80.0-kg man stands on a pogo stick, the spring is compressed 0.120 m. (a) What is the force...

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Question

To find the spring constant using Hooke’s Law, we will need to rearrange equation 1 and solve for k.

k = F/x
Note that at equilibrium, the weight of the mass, mg, is equal to the spring force. Therefore,
k = mg/ x [3] Rearranged Hooke’s Law equation

This means you can use the k = mg/x to find the spring constant. In this formula, g=9.8 m/s2 is the acceleration due to gravity. Before you substitute your values into the spring constant equation, you will need to convert the mass from grams into kilograms and the change in length from centimeters into meters. If you do not convert the units, then your spring constant will not have the units N/m, and it will be incorrect. Repeat the above procedure with 100g and 250g. Because the spring has not changed, all three values for the spring constant should be similar to each other. If they are very different, you should reread the directions and try again. Finally, calculate the average spring constant and enter it into the last row of the data Table.