Question

Ee = %2 xkx e?. Re-arrange to give an equation for:

a) The spring constant k.
b) The extension squared e2.
c) The extension e.

Answer 1

a) Equation for spring constant k is
`k = (2E)/(e^2)`

b)Equation for the extension squared is
`e^2 = (2E)/(k)`

(c) Equation for the extension e is
`e = \sqrt{(2E)/(k) }`

Step-by-step explanation:

Given;

`E = (1)/(2) ke^2`

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.

`E = (1)/(2) ke^2\\\\ke^2 = 2E\\\\k = (2E)/(e^2)`

(b) Equation for the extension squared e2;

`E = (1)/(2) ke^2\\\\ke^2 = 2E\\\\e^2 = (2E)/(k)`

(c) Equation for the extension e;

`e^2 = (2E)/(k) \\\\e = \sqrt{(2E)/(k)}`