Question

Tula springs of spring constant 1500 Newton per metre and 800 Newton per metre respectively are stressed with same for they will have potential energy in the ratio

Answer 1

Tula springs of spring constant 1500N/m and 800N/m respectively are stressed with same force .
we know, force is directly proportional to displacement {elongation or compression} of spring . $F=-Kx$ .....(1)
K is spring constant.

we also know, formula of potential energy in case of spring ,
$P.E=-\frac{1}{2}Kx^2$......(2)

from equations (1) and (2),
$P.E=\frac{1}{2}\frac{F^2}{K}$
hence, potential energy is inversely proportional to spring constant.

so, ratio of potential energy = $\frac{K_2}{K_1}$
= 800/1500 = 8/15