Hooke's law allows to find the results for the questions about the spring are:
a) The spring constant is: k = 75 N / m
b) The elongation is: x = 0.08 m
Hooke's law states that the restoring force in a spring is proportional to the elongation of the spring from its equilibrium position.
F = - k x
Where f is the force, k is the spring constant, and x is the displacement.
a) Indicate that the elongation is 0.04 m and the applied force is 3N.
[tex]k = \frac{F}{x}[/tex]
k = [tex]\frac{3}{0.04}[/tex]
k = 75 N / m
b) They ask the extension of the spring when a force of 6 N is applied.
[tex]x= \frac{F}{k}[/tex]
x = [tex]\frac{6}{75}[/tex]
x = 0.08 m
In conclusion using hooke's law we can find the results for the questions about the spring are:
a) The spring constant is: k = 75 N / m
b) The elongation is: x = 0.08 m
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