Answer:
K = 26.667 N/m
Explanation:
a) Using the newton's laws:
[tex]W - F_k = 0[/tex]
Where W is the weigth of the block in the second spring and [tex]F_k[/tex] is the force of that spring. So:
W = [tex]F_k[/tex]
It means that:
W = [tex]Kx_2[/tex]
where K is the constant of the spring and x2 is the deformation of the second spring. Then, replacing values we get:
4N = K(0.15m)
Solving for K:
K = 26.667 N/m
b) At the same way, for the third spring, we have the equation:
W = [tex]Kx_3[/tex]
Where K is the same constant of the secor spring and x3 is the deformation of the third spring.
Finally, replacing values, we get:
W = (26.667N/m)(0.30)
W = 8N