1.)The sun moves around the center of the Galaxy at the speed ofabout 200 km/s.

Question

1.)The sun moves around the center of the Galaxy at the speed ofabout 200 km/s. Calculate the percent difference between theNewtonian and the relativistic values for the momentum of the Sun.calculate the percent difference between the Newtonian and therelativistic values for the kinetic energy of the sun.

2.) In the reference frame of the laboratory, a particle moves inthe x-y plane with a velocity of .7c at an angle of 40 degrees withthe x-axis. Find the velocity (magnitude and direction) of thisparticle in teh reference frame of a spaceship moving at V=.9c inthe positive x-direction

Explanation / Answer

1) the percent difference = [mv/(1 - v2/c2) -mv]/[mv/(1- v2/c2)] = 1 - (1- v2/c2) = 2.2*10-7 2) vx = 0.7c*cos(40), vy = 0.7c*sin(40) vx' = (vx + V)/(1 +vxV/c2) = 0.969c vy' = vy(1 -V2/c2)/(1 + vxV/c2)= 0.1323 c so v' = (vx'2 + vy'2) =0.978 c = tan-1(vy/vx) = 7.77o with +x axis

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