ASVAB Practice Test

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A spring will compress 1 inch for every 50 pounds of force that is applied to it. How much force is needed to compress the same spring 10 inches?

100 Ibs
250 Ibs
400 Ibs
500 Ibs

The correct answer is: 500 Ibs

To determine the amount of force required to compress the spring 10 inches, we can use the information provided that the spring compresses 1 inch for every 50 pounds of force. This sets a direct relationship between the amount of force applied and the compression distance. If the spring compresses by 1 inch under a force of 50 pounds, then to find out how much force is needed to compress it 10 inches, we can multiply the force required for 1 inch by the total number of inches we want to compress it. Specifically, for 10 inches, the calculation would be: 10 inches * 50 pounds per inch = 500 pounds. This means that to compress the spring 10 inches, a total force of 500 pounds is necessary. This reasoning aligns with the principles of Hooke's Law, which states that the force exerted by a spring is directly proportional to the distance it is compressed or stretched.