Initial center of massM/2-M/2-Burst of radiation is emittedL.New center of masss K-Radiation is-absorbed andbox stops 2. An alternative derivation of the mass-energy formula E, = moc² also given byEinstein, is based on the principle that the location of the center of mass (CM) ofan isolated system cannot be changed by any process that occurs inside thesystem. The Figure below shows a rigid box of length L that rests on a frictionlesssurface; the mass M of the box is equally divided between its two ends. A burst ofelectromagnetic radiation of energy E, is emitted by one end of the box. Accordingto classical physics, the radiation has the momentum p = "0%c , and when it isemitted, the box recoils with the speed v zEo/so that the total momentum ofMcthe system remains zero. After a time t z L/c the radiation reaches the other endof the box and is absorbed there, which brings the box to a stop after having movedthe distance S. If the CM of the box is to remain in its original place, the radiationmust have transferred mass from one end to the other. Show that this amount ofmass is m, =c2.

we have to show that amount of mass mo = E0 / c2

Answered: An alternative derivation of the…

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An alternative derivation of the mass-energy formula E, = mɑc² also given by