The elastic potential energy \( E \) is proportional to the square of the force: \(E \propto F^2\) (for the same spring). The relationship between the energies for different forces is given by: \(\frac{E_2}{E_1} = \left( \frac{F_2}{F_1} \right)^2\) Now, substituting the known values: \(E_2 = 0.16 \times \left( \frac{700}{200} \right)^2 = 0.16 \times (3.5)^2 = 0.16 \times 12.25 = 1.96 \, \text{J}\)