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

Practice Questions

Q1
If the mass of an object is 2 kg, what is its energy equivalent according to Einstein's equation E=mc^2? (2022)
  1. 1.8 x 10^16 J
  2. 1.8 x 10^14 J
  3. 1.8 x 10^12 J
  4. 1.8 x 10^10 J

Questions & Step-by-Step Solutions

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.
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