sabahachaudhry05
Answered

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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.

Sagot :

onyebuchinnaji

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]

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