One 2.5 gram pi ece of mass movi ng at 100 meters per second (m/s) col l i des a

Question

One 2.5 gram pi ece of mass movi ng at 100 meters per second (m/s) col l i des and sti cks to another 2.5 gram mass at rest. The resul ti ng 5 gram mass conti nues i n the same di recti on wi th some speed. No external forces act on these masses, and duri ng the col l i si on no parti cl es are absorbed, but 3 × 10 photons are emi tted due to the col l i si on. These photons al l have a wavel ength of 1.0 m, and al l of them move i n a di recti on opposi te the 2.5 gram mass movi ng at 100 m/s. Usi ng momentum conservati on, compute the speed of the resul ti ng 5 gram mass.

Explanation / Answer

conserving momentum,

0.0025 x 100 = 0.005 x v - 30 x h/wavelength

v = [0.25 + 30 x 6.626 x 10-34/10-6]/0.005 =  50 m/s

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