I\'m having trouble figuring out the components using relativistic momentum for

Question

I'm having trouble figuring out the components using relativistic momentum for r9b.3.

its relatavisi to E, T or F? R9S.1 V ROT.10 The mass of a particle is the same in all inertial ref- erence frames (even though its speed is not), T or F? R9S.2 R9B.3 A 12-kg rock moves with a velocity whose compo- nents to,, t's, vl=[4,-13, 0] in a certain frame Find the components of its four-momentum in that frame. R9S.3 R9B.4 Imagine that an object of mass 5.0 kg is observ a certain inertial frame to have velocity com nents of ux =-0866 and T.-TI-0 Evaluate the rcompo TI0 Fvaluate the

Explanation / Answer

the speed is,

v = sqrt(4/13*4/13+3/13*3/13+0*0) = 0.38462 c

the Lorentz factor or relativistic constant is,

gamma = 1/sqrt(1-v/c^2)

               = 1/sqrt(1-0.38462*0.38462)

               = 1.0833

gamma * m = 1.0833 * 12 = 12.9996

thus the momentum is,

      P = gamma m [c, vx , vy , vz] = [12.9996 ,3.999 , -2.999 , 0] = [13, 4, -2,0] , approximately

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