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10. A 0.050 kg mass is hanging from a spring whose unstretched length is 10. cm and whose spring constant is 2.5 N/m. What is the final length of the spring at rest. (ANSWER: 240N/m )

 

Whar are the steps I have to follow to find the answer.

 Sep 12, 2015
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The force pulling the spring down is F = mass*g  where g is gravitational acceleration (9.8 m/s^2)

 

The spring force resisting this is given by Hooke's law: F = k*deltax where k is the spring constant and deltax is the extension

 

so 2.5*deltax = 0.05*9.8

 

deltax = 0.05*9.8/2.5 = 0.196 m or 19.6 cm

 

Therefore the final length of the stretched spring is 19.6 + 10 = 29.6 cm

 

The answer can't be 240N/m - that is not a length!!!

 Sep 12, 2015

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