Answer :
To calculate the energy generated when a mass is completely converted to energy, you can use Einstein's famous equation E=mc^2. Here's how you can approach the calculation step by step:
1. Convert the mass given in kilograms to grams, as the standard unit for mass in the equation is grams. 1.0 x 10 kilograms is equivalent to 1.0 x 10^3 grams (since there are 1000 grams in a kilogram).
2. Plug the mass value into the equation E=mc^2, where:
- E represents the energy generated,
- m is the mass in grams, and
- c is the speed of light in a vacuum, approximately 3.00 x 10^8 m/s.
3. Square the speed of light (3.00 x 10^8 m/s) to get the value to use in the equation.
4. Multiply the squared speed of light by the mass in grams to calculate the energy generated when the mass is completely converted to energy.
5. The final value will give you the energy generated in joules.
By following these steps and performing the calculations accurately, you will determine the amount of energy that would be generated if a 1.0 x 10-kilogram mass were completely converted to energy.
