Question

Teenagers Sam and Tom are playing chicken in their rockets. As the figure(Figure 1) shows, an experimenter on earth sees that each is traveling at 0.95c as he approaches the other. Sam fires a laser beam toward Tom. What is the speed of the laser beam relative to Sam? What is the speed of the laser beam relative to Tom?

Answer 1

The speed of the laser beam relative to Tom is 2.95c.

The teenager Sam and Tom are approaching each other with a speed of 0.95c while playing chicken in their rocket.

Sa fires a laser from his rocket towards Tom.

The speed of the laser will be equal to c because it will have the speed of light.

Now, the speed of the the rocket of Sam from the rocket of Tom will be,

V = 0.95c-(-0.95c)

V = 1.95c.

Now, because the laser is fired towards Tom, speed of the laser with respect to Tom will be,

V' = 1.95c - (-c)

V' = 2.95c.

So, the speed of the laser beam relative to Tom is 2.95c.

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