Question

Consider a simple harmonic oscillator made from a block of mass m attached to a ng constant k. What changes could you make that would double its maximum speed. By how much would this change increase its energy?

Answer 1

Answer:

energy would become four times

Explanation:

Kinetic energy K= 0.5mv^2

⇒$v=\sqrt{\frac{2m}{K} }$

now, v'= 2v

$2v=v'=2\sqrt{\frac{2m}{K} }$

v'=$\sqrt{\frac{2\times4E}{m} }$

hence, speed can be doubled by four folding the energy or by decreasing mass to one fourth.