Consider three inertial frames S1, S2 and S3, all moving in the y-direction. S3 moves w.r.t...

Consider three inertial frames S1, S2 and S3, all moving in the y-direction. S3 moves w.r.t S1 at
a speed v31 = 0.35c and at v32 = −0.53c w.r.t S2.

1. What is the velocity of S2 as measured by observers in S1?

2. A meter stick at rest in S3 is tilted at an angle of θ3 = 30◦ to the y axis. How long is the meter stick, and what angles θ1 and θ2 does it make with the y-axis, as measured in S1 and
S2, respectively?

3. An observerin S2 notice ssimultaneous lightning strikes at locationsin Mahikeng and
Potchefstroom, 200 km apart. Do observers in S1 and S3 also see these events as simultaneous? Support your answer with all the necessary calculations.

4. An astronomer in S1 measures the frequency of light emitted by a star to be 400 Hz. What
frequency do astronomersin S2 and S3 measure? How can they conclude if the star is
approaching or receding from them?

5. In S1, an electron of mass m has its kinetic energy K1 equal to its rest energy, E0. Calculate the speeds u1, u2, u3, total energies E1, E2, E3 and momenta p1, p2,p3 of the electron in the
three inertial frames. (You can express the energies in terms of E0.)

Expert Solution

I will provide the solution for q-4 and q-5 very soon.If you have any further question feel free to ask And also if you like the solution don't forget to give it a thumbs up.

genius_generous answered 2 years ago

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