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Your friend turns the volume up on their speaker system, so that the sound intensity is 4 times greater than it was beforehand. By what factor has the energy output of the speaker system increased?

Respuesta :

oladayoademosu

Answer:

4

Explanation:

We know that intensity I = P/A where P = power and A = area through which the power passes through.

Now, let the initial intensity of the speaker be Iâ‚€ and its initial power be Pâ‚€. Since the intensity is increased by a factor of 4, the new intensity be I and new power be P.

So, I = P/A and Iâ‚€ = Pâ‚€/A

Now, if I = 4Iâ‚€,

P/A = 4Pâ‚€/A

P = 4Pâ‚€

Now, energy E = Pt, where t = time. So, P = E/t and Pâ‚€ = Eâ‚€/t

Substituting P and Pâ‚€ into the equation, we have

P = 4Pâ‚€

E/t = 4Eâ‚€/t

E = 4Eâ‚€

Since the energy is four times the initial energy, the energy output increases by a factor of 4.

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