alleryStart learning →What is the rest energy, E0, of an object with a mass of 1.00 g? Use c = 3.00 x 10^8 m/s.
A3.00 x 10^5 J
B3.00 x 10^11 J
C9.00 x 10^13 J
D9.00 x 10^16 J
Answer & Solution
Correct answer: C. 9.00 x 10^13 J
1. Rest energy is given by E0 = m c^2.
2. Convert the mass to kilograms: 1.00 g equals 1.00 x 10^-3 kg.
3. Substitute into E0 = (1.00 x 10^-3 kg)(3.00 x 10^8 m/s)^2.
4. Squaring the speed of light gives 9.00 x 10^16, and multiplying by 1.00 x 10^-3 gives 9.00 x 10^13 J.
5. 9.00 x 10^16 J skips the kilogram conversion, and 3.00 x 10^5 J and 3.00 x 10^11 J do not square the speed of light at all.
6. So 9.00 x 10^13 J is correct.
_Source: OpenStax Physics (CC BY 4.0), Ch 10 "Special Relativity", section 10.2 Consequences of Special Relativity_
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