The spring constant of an automotive suspension spring increases with increasing load due to a spring coil that is widest at the bottom, smoothly tapering to a smaller diameter near the top. The result is a softer ride on normal road surfaces from the wider coils, but the car does not bottom out on bumps because when the lower coils collapse, the stiffer coils near the top absorb the load. For such springs, the force exerted by the spring can be empirically found to be given by F = ax b . For a tapered spiral spring that compresses 12.9 cm with a 1 000-N load and 31.5 cm with a 5 000-N load, (a) evaluate the constants a and b in the empirical equation for F and (b) find the work needed to compress the spring 25.0 cm.
The spring constant of an automotive suspension spring increases with increasing load due to a spring coil that is widest at the bottom, smoothly tapering to a smaller diameter near the top. The result is a softer ride on normal road surfaces from the wider coils, but the car does not bottom out on bumps because when the lower coils collapse, the stiffer coils near the top absorb the load. For such springs, the force exerted by the spring can be empirically found to be given by F = ax b . For a tapered spiral spring that compresses 12.9 cm with a 1 000-N load and 31.5 cm with a 5 000-N load, (a) evaluate the constants a and b in the empirical equation for F and (b) find the work needed to compress the spring 25.0 cm.
Solution Summary: The author explains the constants a and b in the empirical equation for F.
The spring constant of an automotive suspension spring increases with increasing load due to a spring coil that is widest at the bottom, smoothly tapering to a smaller diameter near the top. The result is a softer ride on normal road surfaces from the wider coils, but the car does not bottom out on bumps because when the lower coils collapse, the stiffer coils near the top absorb the load. For such springs, the force exerted by the spring can be empirically found to be given by F = axb. For a tapered spiral spring that compresses 12.9 cm with a 1 000-N load and 31.5 cm with a 5 000-N load, (a) evaluate the constants a and b in the empirical equation for F and (b) find the work needed to compress the spring 25.0 cm.
Will you please walk me through the calculations in more detail for solving this problem? I am a bit rusty on calculus and confused about the specific steps of the derivation: https://www.bartleby.com/solution-answer/chapter-3-problem-15e-modern-physics-2nd-edition/9780805303087/7cf8c31d-9476-46d5-a5a9-b897b16fe6fc
please help with the abstract. Abstract - This document outlines the format of the lab report and describes the Excel assignment. The abstract should be a short paragraph that very briefly includes the experiment objective, method, result and conclusion. After skimming the abstract, the reader should be able to decide whether they want to keep reading your work. Both the format of the report and the error analysis are to be followed. Note that abstract is not just the introduction and conclusion combined, but rather the whole experiment in short including the results. I have attacted the theory.
Using the Experimental Acceleration due to Gravity values from each data table, Data Tables 1, 2, and 3; determine the Standard Deviation, σ, mean, μ, variance, σ2 and the 95% Margin of Error (Confidence Level) Data: Ex. Acc. 1: 12.29 m/s^2. Ex. Acc. 2: 10.86 m/s^2, Ex. Acc. 3: 9.05 m/s^2
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Work and Energy - Physics 101 / AP Physics 1 Review with Dianna Cowern; Author: Physics Girl;https://www.youtube.com/watch?v=rKwK06stPS8;License: Standard YouTube License, CC-BY