Work Energy And Power Question 235

Question: If stretch in a spring of force constant k is tripled then the ratio of elastic potential energy in the two cases will be

Options:

A) 9:1

B) 1:6

C) 3:1

D) 1:3

Show Answer

Answer:

Correct Answer: A

Solution:

[a] For a given spring, $ u =\frac{1}{2} kx^{2} $
$ \therefore \frac{{u_2}}{u_1} =\frac{\frac{1}{2} kx_2^{2}}{\frac{1}{2} kx_1^{2}}=\frac{{{( 3x )}^{2}}}{x^{2}}=9:1 $



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