The labor needed to compress the spring by an extra half inch is calculated using proportions to be 1.75 ft-lb.
Given that,
A spring must exert ten and a half foot pounds of work in order to be compressed by three inches from its natural length.
What exactly is proportion?
The three-step rule is used to connect the measurements because a percentage is a part of a total amount.. This makes it possible to construct direct or inverse proportional relationships between variables to find the necessary measures in the issue.
For 3 inches, 10.5 ft-lb of work is needed, hence for a single inch the amount needed is:
10.5/3 = 3.5
Consequently, the amount if for a half-inch is:
0.5 x 3.5 = 1.75 ft-lb.
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