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A space probe speeding towards the nearest star moves at 0.250$c$ and sends radio information at a broadcast trequency of 1.00 GHz. What frequency is received on the Earth?

$f=0.775 \mathrm{GHz}$

Physics 103

Chapter 28

Special Relativity

Relativity

Revere G.

February 12, 2021

4. What must be the momentum of a particle with mass m so that the total energy of the particle is 4 times its rest energy?

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Simon Fraser University

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well, The speed of the space probe moving towards the nearest star is 0.257 times the speed of light. Uh, you is equal to zero point 250 times the speed of light on the frequency of the emitted radiation. Yeah, is equal to 1.0 gig a heart and 1.0 gig. A heart is equal to 1.0 Multiply by 10 to the power nine arse, and the speed of light C is equal to 3.0 multiplied by 10 to the power eight meter per second. Well, the frequency off the light when we observe from the earth is given by F is equal to, if not times square root one minus you divided by sea, divided by one place you divided by sea. Let's plug in the values F is equal to well here. If not, is the source frequency on and it's equal to. If not, it's not. F, uh not is equal to one point 00 multiplied by 10 to the dollar. Nine. Multiply by multiply by square root off one minus. U U is 0.250 times the speed of light divided by ah, speed of light and the speed of light is C divided by divided by one less 0.250 time see divided by sea and the F equals zero point seven 75 multiplied by 10 to the power mine hearts and F equals 0.775 big a heart.

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