Question

The amplitude of a system moving with simple harmonic motion is doubled. The total energy will the be:

a)4 times larger
b)3 times larger
c)2 times larger
d)The same as it was
e)Half as much

Answer 1

The total energy of a simple harmonic oscillator is proportional to the square of the amplitude. If the amplitude is doubled, the total energy becomes a. four times larger.

Step-by-step explanation:

When the amplitude of a system moving with simple harmonic motion is doubled, the total energy will be four times larger. This is because the total energy of a simple harmonic oscillator is proportional to the square of the amplitude (ETotal = (1/2)kA2). Therefore, if the amplitude is doubled, the total energy becomes (1/2)k(2A)2 = 4 * (1/2)kA2, which is four times the original energy.