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

energy would become four times

Step-by-step explanation:

Kinetic energy K= 0.5mv^2

⇒
`v=\sqrt{(2m)/(K) }`

now, v'= 2v

`2v=v'=2\sqrt{(2m)/(K) }`

v'=
`\sqrt{(2*4E)/(m) }`

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