Question

Eight and one-half foot-pounds of work is required to compress a spring 4 inches from its natural length. Find the work required to compress the spring an additional one-half inch. (Round your answer to two decimal places.) ft-lb

Answer 1

Using proportions, it is found that the work required to compress the spring an additional one-half inch is of 1.0625 ft-lb.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

For 4 inches, 8.5 ft-lb of work is needed, hence for a single inch the amount needed is:

8.5/4  = 2.125.

Hence for half an inch, the amount if:

0.5 x 2.125 = 1.0625 ft-lb.

More can be learned about proportions at https://brainly.com/question/24372153

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