Chapter 14.3, Problem 14.3TYU

(a) To double the total energy for a mass-spring system oscillating in SHM, by what factor must the amplitude increase? (i) 4; (ii) 2; (iii) $\sqrt{2}=1.414$; (iv) $\sqrt[4]{2}=1.189$. (b) By what factor will the frequency change due to this amplitude increase? (i) 4; (ii) 2; (iii) $\sqrt{2}=1.414$; (iv) $\sqrt[4]{2}=1.189$; (v) it does not change.