[PDF] Foundations of Science E = mc



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Einstein’s Most Famous Equation, E mc

In our example, with the motion being entirely in the x direction, dy′= dy = 0 and dz′= dz = 0, and so we can write Einstein’s claim as that: dx2 - (c dt )2 = ds2 = dx′ 2 - (c dt′)2 The c’s that I inserted (multiplying the dt’s) are to convert the units of time from seconds to meters—required so



PRACTICE PROBLEMS USING E=mc2 - Yola

PRACTICE PROBLEMS USING E=mc2 1 Calculate the energy released in the decay of one mole of neutrons neutron proton + electron Mass of neutron = 1 008665 g/mol



E=mc2 and Other Artistic Equations

For example, Albert Einstein could be seen as having had a form-driven personality that tends to favor reason, logic, method, and formulas; however, he must also have had significant content-driven traits that enabled him to value and exercise the imaginative qualities required by invention I suggest that his idea of 1905, E=mc



Conceptual Development of EinsteinÕs Mass-Energy Relationship

The meaning of E = mc2 was lively discussed after the landing of atomic bombs on Hiroshima and Nagasaki The interpretation of “mass can be converted into energy” was suggested to be a misconception There was also debate on whether “the law of conservation of mass still holds” and this could be “purely a question of definition ”



Foundations of Science E = mc

1 Relation between Energy and Mass E = mc2 Famous equation from Einstein, Energy and matter are related Review for Test #1 Sept 22nd Topics: • Foundations of Science - Scientific method, units, etc



Energy-momentum relation E2 p2c2 mc2 (That Famous Equation)

Example: By conservation of mass-energy: Nuclear fission is the basis of nuclear reactors as well as nuclear bombs 236U144Ba+89Kr+3n B m U c2= m Ba c2 1u a 2c2 + m Kr c2 1u Kr 2c2 + m n 1 c2 1u n 1 2c2 + m n 2 c2 1u 2 2c2 + m n 3 c2 1u 3 2c2 The rest mass of the uranium nucleus is greater than the sum of the masses of the daughter products



DOES THE INERTIA OF A BODY DEPEND UPON ITS ENERGY-CONTENT?

to that in use by the 1920’s; for example, c denotes the speed of light, as opposed the V used by Einstein in 1905 In this paper Einstein uses L to denote energy; the italicised sentence in the conclusion may be written as the equation “m = L/c2” which, using the more modern E instead of L to



2 The Theory of Special Relativity

Example: Particle/antiparticle creation with mass Consider a collision of two photons, going in exact opposite directions, ±zˆ, each with energy E 0 E 0 is arranged so that after the collision, a particle and antiparticle, each with mass m, is at rest Thus, by CoE, E 0 = mc2

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