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 $