A linear spring, F = ks(x ? x0) with spring constant ks =

Chapter 3, Problem 43HP

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QUESTION:

Problem 43HP

A linear spring, F = ks(x − x0) with spring constant ks = 500 N/m, is stretched until it is 100 mm longer. Find the required force and the work input.

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QUESTION:

Problem 43HP

A linear spring, F = ks(x − x0) with spring constant ks = 500 N/m, is stretched until it is 100 mm longer. Find the required force and the work input.

ANSWER:

Solution 43 HP

Step 1 of 2

We have to find the force required and the work input in stretching a spring until it is 100 mm longer.

The force required in the stretching the spring can be found using the expression,

 

where,

spring constant = 500 N/m

100 mm

Hence,

     

Therefore, the force required in stretching the spring until it is 100 mm is 50 N.

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