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 598.0 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 4.229E+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.) Towards Away Submit Answer Some items were not submitted. Tries 0/ 10 Previous Tries

Explanation / Answer

Applying doppler's effect.

f = f0 [ c +- v_observer] / (c -+ v_source)

v_observer = 0

v_source = - v because f in greater than f0.

f - f0 = f0(c)/(c - v) - f0

delta(f) = f0 ( c - c + v) / (c - v)

4.229 x 10^4 = (598 x 10^6) (v ) / (c - v)

v / (c - v) = 7.7019 x 10^-5

v < < c so c -v = c

v = (3 x 10^8) (7.7019 x 10^-5)

v= 2.12 x 10^4 m/s .......Ans

it is moving towards the earth. .......Ans

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

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