Question
A relativity enthusiast says, "If $E=m c^{2}$ and energy is conserved, then mass is conserved." How do you answer?
Step 1
This equation, derived from Einstein's theory of relativity, states that energy (E) is equal to mass (m) times the speed of light (c) squared. This equation shows that mass and energy are interchangeable. Show more…
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Key Concepts
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Assertion Mass and energy are not conserved separately, but are conserved as a single entity called 'mass-energy'. Reason This is because one can be obtained at the cost of the other as per Einstein equation. $$ E=m c^{2} $$
Work, Energy and Power
Round 2
Einstein's mass energy equation is given by (a) $\mathrm{E}=\mathrm{mc}$ (b) $\mathrm{E}=\mathrm{mc}^{2}$ (c) $E=m^{2} c$ (d) $E=2 \mathrm{mc}$
PHYSICAL WORLD AND MEASUREMENT
Physical World
If momentum is the product of mass time velocity and kinetic energy is the product of mass times the square of the velocity, how can momentum be conserved even though kinetic energy is lost or gained?
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