Answer:
a) Equation for spring constant k is [tex]k = \frac{2E}{e^2}[/tex]
b)Equation for the extension squared is [tex]e^2 = \frac{2E}{k}[/tex]
(c) Equation for the extension e is [tex]e = \sqrt{\frac{2E}{k} }[/tex]
Explanation:
Given;
[tex]E = \frac{1}{2} ke^2[/tex]
where;
E is the elastic potential energy
k is the spring constant
e is the extension of the spring
a) Equation for spring constant k is given as.
[tex]E = \frac{1}{2} ke^2\\\\ke^2 = 2E\\\\k = \frac{2E}{e^2}[/tex]
(b) Equation for the extension squared e2;
[tex]E = \frac{1}{2} ke^2\\\\ke^2 = 2E\\\\e^2 = \frac{2E}{k}[/tex]
(c) Equation for the extension e;
[tex]e^2 = \frac{2E}{k} \\\\e = \sqrt{\frac{2E}{k}}[/tex]
