Is the total relativistic energy in 1 kg of 238U greater than, equal to, or less...

Is the total relativistic energy in 1 kg of ²³⁸U greater than, equal to, or less than the total energy in 1 kg of ¹²C?

You’re in a park listening to a concert that’s 70 m away. The music is faint, and you want the sound intensity to be a factor of 4 times higher. How far from the stage do you need to be?

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Expert Solution

Question 1

The formula for relativistic energy is . Here, we can see that the energy depends solely on the mass present in the body, and not on the nature of substance. Since both are equal masses, their relativistic energies are equal.

Question 2

The intensity of sound in inversely proportional to the square of the distance.

Dividing the two equations to remove the proportionality sign, we get

We know that we want and that .

Putting all this in our equation, we get

We need to stand at this distance to experience a intensity four times higher. We can also say that to experience an intensity four times higher, we need to be half the initial distance away.

genius_generous answered 1 year ago

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