If a force of 100 newton by 5meters . calculate the elastic constant
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To calculate the elastic constant, we need to know the equation relating force and displacement in an elastic system. This equation is given by Hooke's Law:
F = -kx
Where:
F = applied force (in newtons)
k = elastic constant
x = displacement (in meters)
In this case, we are given the force F = 100 newtons, and the displacement x = 5 meters. We can rearrange Hooke's Law to solve for the elastic constant k:
k = -F / x
Substituting the given values:
k = -100 N / 5 m
Simplifying:
k = -20 N/m
Therefore, the elastic constant is -20 N/m. Note that the negative sign indicates that the force is acting in the opposite direction of the displacement.