If the mass of an object is 2 kg, what is its energy equivalent according to Ein

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Question: If the mass of an object is 2 kg, what is its energy equivalent according to Einstein\'s equation E=mc^2? (2022)

Options:

Correct Answer: 1.8 x 10^16 J

Exam Year: 2022

Solution:

E = mc^2 = 2 kg * (3 x 10^8 m/s)^2 = 1.8 x 10^16 J.

If the mass of an object is 2 kg, what is its energy equivalent according to Einstein's equation E=mc^2? (2022)

If the mass of an object is 2 kg, what is its energy equivalent according to Einstein's equation E=mc^2? (2022)

Step 1: Identify the mass of the object. In this case, the mass (m) is 2 kg.
Step 2: Recall Einstein's equation for energy, which is E = mc^2.
Step 3: Identify the speed of light (c). The speed of light is approximately 3 x 10^8 meters per second (m/s).
Step 4: Substitute the values into the equation. Replace m with 2 kg and c with 3 x 10^8 m/s.
Step 5: Calculate c^2. This means you multiply the speed of light by itself: (3 x 10^8 m/s) * (3 x 10^8 m/s) = 9 x 10^16 m^2/s^2.
Step 6: Now multiply the mass (2 kg) by c^2 (9 x 10^16 m^2/s^2): 2 kg * 9 x 10^16 m^2/s^2 = 1.8 x 10^17 J.
Step 7: Write the final answer. The energy equivalent (E) is 1.8 x 10^17 Joules (J).

Mass-Energy Equivalence – This concept explains that mass can be converted into energy, and vice versa, as described by Einstein's equation E=mc^2.
Units of Measurement – Understanding the units involved in the equation, specifically kilograms for mass and meters per second for the speed of light.
Scientific Notation – The ability to work with and interpret large numbers expressed in scientific notation.