Math Problem Statement

The extension in length of a spiral spring varies with loads suspended from it. The result of an experiment with spiral spring is shown in the table with different load values (g) and their corresponding extension (cm).

Solution

The image shows a table of experimental results related to the extension in length of a spiral spring when loads are suspended from it. Here's the table extracted from the image:

Load (g)Extension (cm)
5010.7
10014.5
15018.3
20022.7
25026.9
30031.1

The table reflects how the extension of the spring increases with the weight of the suspended load, likely following Hooke's Law for elastic materials, which states that the extension is proportional to the applied force (up to the elastic limit).

Would you like to calculate the spring constant or analyze the data further in some other way?

Here are 5 related questions that expand on this:

  1. Would you like to verify if the data fits a linear model, assuming Hooke's Law holds?
  2. Should we calculate the spring constant using the data provided?
  3. Would you like a graph of the load versus extension to visualize the relationship?
  4. Do you want to find the force corresponding to the given loads (using F=mgF = mg)?
  5. Would you like to calculate the potential energy stored in the spring for each load?

Tip: When working with experiments involving springs, always check if the spring follows Hooke's Law by looking for a linear relationship between load and extension!

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Math Problem Analysis

Mathematical Concepts

Hooke's Law
Linear Relationships
Physics
Elasticity

Formulas

F = kx
F = mg

Theorems

Hooke's Law

Suitable Grade Level

Grades 10-12