The discussion centers on calculating the speed of an electron with a given momentum of 2.74 x 10-22 kg·m/s. The correct formula to use is derived from the relativistic momentum equation, p = γmv, where γ (gamma) is the Lorentz factor. The speed v is expressed as v = p/(γm), which requires solving for γ as it is dependent on v. This approach corrects the initial misconception of using v = p/m.
PREREQUISITESPhysics students, educators, and anyone interested in understanding relativistic mechanics and the behavior of particles at high speeds.
If p = γmv, then v = p/γm not p/m. Of course, γ itself is a function of v, so you need to write it out and then solve for v correctly.psilovethomas said:Homework Statement
An electron has momentum of magnitude 2.74 10-22 kg · m/s. What is the electron's speed?
Homework Equations
p=ymv, where y=gamma
The Attempt at a Solution
v=p/m, which is wrong. Any suggestions?