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The energy produced by converting 2.0 x 10⁻⁵ kilograms of mass into energy is 1.8 x 10¹² J. This is equal to:

A. 1.8 TJ
B. 1.8 GJ
C. 1.8 MJ
D. 1.8 kJ

User Marknery
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1 Answer

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Final answer:

The energy produced by converting mass to energy in the given problem is 1.8 x 10¹² Joules, which is equal to 1.8 TeraJoules (TJ), as 1 TJ equals 10¹² J. The correct option is A. 1.8 TJ.

Step-by-step explanation:

The energy produced by converting 2.0 x 10⁻⁵ kilograms of mass to energy is given as 1.8 x 10¹² J. According to the principle of mass-energy equivalence, expressed by Einstein's equation E = mc², mass can be converted into energy, where c is the speed of light in vacuum. The energy produced from a mass can be immense due to the large value of .

Given that 1 Joule (J) is defined as 1 kilogram-meter²/second² (kg⋅m²/s²), and different multiples of Joules are used to express larger quantities of energy, we know that:

  • 1 kiloJoule (kJ) = 10³ J
  • 1 MegaJoule (MJ) = 10⁶ J
  • 1 GigaJoule (GJ) = 10⁹ J
  • 1 TeraJoule (TJ) = 10¹² J

Therefore, the energy of 1.8 x 10¹² J is equal to 1.8 TeraJoules (TJ), as 1 TeraJoule is equal to 10¹² Joules. So the correct answer is A. 1.8 TJ.

User Satya
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