A force of $20$ newtons will stretch a spring $5$ centimeters. What is the total number of centimeters that a force of $60$ newtons will stretch the same spring

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03-06-2021
Mathematics

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A force of $20$ newtons will stretch a spring $5$ centimeters. What is the total number of centimeters that a force of $60$ newtons will stretch the same spring

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Luv2Teachidn Luv2Teachidn · Answer 1 · 2021-06-03T14:33:09-04:00

Luv2Teachidn Luv2Teachidn

03-06-2021

Answer:

Step-by-step explanation:

Hooke's Law applies here, which is a linear relationship. It would be easier to solve this using proportions with N of force on the top and the amount of stretch in cm on the bottom. Set up with our unknown, the number of cm:

[tex]\frac{N}{cm}:\frac{20}{5}=\frac{60}{x}[/tex] and cross multiply:

20x = 300 so

x = 15 cm

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