# By what factor would the energy carried by the rope change

looi76

## Homework Statement

The amplitude of a wave in a rope is $$15 \ mm$$. If the amplitude were changed to $$20 \ mm$$. Keeping the frequency the same, by what factor would the energy carried by the rope change?

## Homework Equations

$$intensity \propto (amplitude)^2$$

## The Attempt at a Solution

$$amplitude_1 = 15 \times 10^{-3} \ m$$
$$amplitude_2 = 20 \times 10^{-3} \ m$$

What to do next

## Answers and Replies

Staff Emeritus
$$\frac{I_2}{I_1} = (\frac{A_2}{A_1})^2$$