In physics, energy E carries dimensions of mass times length squared, divided by time squared. Use dimensional

analysis to derive a relationship for energy in terms of mass m and speed v, up to a constant of proportionality. Set

the speed equal to c, the speed of light, and the constant of proportionality equal to 1 to get the most famous equation

in physics.

Question

10 December, 17:27

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Answers (1)

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Irene Anthony · Answer 1

Energy: kg m²s⁻²

Mass = kg

velocity = m/s

E = kmv²; putting k = 1, v = c

E = mc²