Space probes communicate with controllers on Earth using radio waves. Suppose a

Question

Space probes communicate with controllers on Earth using radio waves. Suppose a probe has a radiotransmitter that operates at a frequency of 516.0 MHz when at rest relative to the observer. This probe is now wandering the solar system. The signal you pick up from the probe is shifted 5.955E+4 Hz higher in frequency than the rest frequency given above. How fast is the probe traveling and is it traveling towards or away from Earth? (assume it is either traveling directly towards or directly away from Earth. You must get boths answers correct at the same time.)

31749m/s awayIncorrect.

Explanation / Answer

f=c/lambda = 516.0 MHz lambda= wavelength

taking the signal travelss at speed of light (c)

for approaching f(apprch)= (c/c-Vs)f

for recding f(recdn)=(c/c+Vs)f

As u said in question away is incorrect

let us calculate only for towars that is f(apprch)= (c/c-Vs)*f

f(apprch)=516.0 MHz+5.955E+4 Hz=(c/c-Vs)*516.0 MHz

c=299 792 458m/s

1+5.955/51600=(299 792 458/(299 792 458-Vs))

1-Vs/c=0.999884606

Vs=34594.14 m/s

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.