Respuesta :
The spring constant of the given spring is 250 N/m. Spring constant is the measure of the stiffness of the spring.
What is the spring constant?
It is the measure of the stiffness of the spring or in other work how much a spring resists the deformation.
From Hooke's law,
[tex]F_s = -kx[/tex]
[tex]F_s[/tex] - force - 75 N
[tex]k[/tex] - spring constant
[tex]x[/tex] - displacement - 0.3 m
Put the values in the formula and calculate for [tex]k[/tex],
[tex]75 = -k \times 0.3 \\\\k = \dfrac {75}{0.3}\\\\k = 250 \rm \ N/m[/tex]
Therefore, the spring constant of the given spring is 250 N/m.
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