If I have a mass of 4kg and the speed of light is 2x10^8m/s then using e=mc^2 what is the energy in joules 

To calculate the energy using the equation \( E = mc^2 \), we can follow these steps:

Given:
- Mass \( m = 4 \, \text{kg} \)
- Speed of light \( c = 2 \times 10^8 \, \text{m/s} \)

### Step-by-Step Calculation:
1. Use the formula \( E = mc^2 \):
   \[
   E = 4 \times (2 \times 10^8)^2
   \]

2. Square the speed of light:
   \[
   (2 \times 10^8)^2 = 4 \times 10^{16}
   \]

3. Multiply the mass by the result:
   \[
   E = 4 \times 4 \times 10^{16} = 16 \times 10^{16} \, \text{J}
   \]

4. Simplify the result:
   \[
   E = 1.6 \times 10^{17} \, \text{J}
   \]

Thus, the energy is \( 1.6 \times 10^{17} \) joules.

Would you like more details on any part of this process?

### Related Questions:
1. What does \( E = mc^2 \) imply about the relationship between mass and energy?
2. How does increasing the mass affect the energy output in \( E = mc^2 \)?
3. Why is the speed of light squared in this formula?
4. How would the energy change if the speed of light were different?
5. Can you explain the significance of this equation in physics?

### Tip:
\( E = mc^2 \) shows that even small amounts of mass can be converted into enormous amounts of energy, as the speed of light squared is a very large number.

If I have a mass of 4kg and the speed of light is 2x10^8m/s then using e=mc^2 what is the energy in joules

Learn how to calculate energy using Einstein's equation E=mc^2 for a mass of 4kg and a speed of light of 2x10^8 m/s. This step-by-step solution covers key concepts in physics, including energy-mass equivalence and exponential calculations. Suitable for high school students (Grades 9-12).

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