An electron-positron pair is produced when a `gamma`-ray photon of energy 2.36MeV passes close to a heavy nucleus. Find the kinetic energy carried by each particle produced, as well as the total energy with each.

Explanation

To solve the problem of finding the kinetic energy carried by each particle produced when a gamma-ray photon of energy 2.36 MeV passes close to a heavy nucleus, we can follow these steps:

### Step 1: Understand the Energy Requirements for Pair Production
When a gamma-ray photon produces an electron-positron pair, the energy of the photon must be at least equal to the rest mass energy of the electron and positron combined. The rest mass energy (E) of each particle can be calculated using the equation:
\[ E = m_0 c^2 \]
where \( m_0 \) is the rest mass of the electron (or positron) and \( c \) is the speed of light.

### Step 2: Calculate the Rest Mass Energy of the Electron and Positron
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