The depth x to which a bullet penetrates a human body depends on (i) coeffeicint of elasticity, `eta` and (ii) KE `(E_k)` of the bullet, By the method of dimensions, show that
`x prop ((E_k)/(eta))^(1//3)`

Explanation

To show that the depth \( x \) to which a bullet penetrates a human body is proportional to \(\left(\frac{E_k}{\eta}\right)^{\frac{1}{3}}\) using the method of dimensions, follow these steps:

1. **Identify the dependencies and set up the proportionality relation:**

The depth \( x \) depends on:
- Coefficient of elasticity, \( \eta \)
- Kinetic energy of the bullet, \( E_k \)

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