The amount of energy equivalent to one kilogram of mass at rest is A) 1.2 × 10⁸ eV. B) 9.0 × 10¹⁶ J. C) 4.5 × 10¹⁶ J. D) 6.0 × 10^-3 eV. E) 3.0 × 10⁸ J.

Question

Quizplus · Accepted Answer

The energy equivalent of one kilogram of mass at rest can be calculated using Einstein's equation $E = mc^2$, where $m$ is the mass in kilograms and $c$ is the speed of light in meters per second ($c = 3.00 \times 10^8 m/s$). Plugging in the values, $E = 1 kg \times (3.00 \times 10^8 m/s)^2 = 9.0 \times 10^{16} J$, which matches choice B.

The Amount of Energy Equivalent to One Kilogram of Mass