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What is the spring constant if 85.0J of energy is stored when a spring is compressed 0.400m?

A.1060N/m
B.212N/m
C.531N/m
D.425N/m

User Amaatouq
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1 Answer

6 votes

Answer:

212N/m

Step-by-step explanation:

First of all, what is spring constant
As per Hooke's law, The restoring force applied by the spring is proportional to the change in length, and restoring force is directed towards the equilibrium position. The proportionality constant is called the spring constant and it is a measure of the stiffness of the spring. So as Hooke's law

F = -Kx

Where

F -> Restoring force

K-> Spring constant

x -> change in length

the negative sign indicates it is acting toward the center

Rearranging this for the Spring constant, Spring constant formula is given by

k = Fx

Unit of Spring Constant is Newton/meter

User Abhishek Kannan
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