College Physics
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![**Problem 27:** A radar signal took 2.7 seconds to travel to the moon and back. How far away was the moon at that time?
To determine the distance between the Earth and the moon, we can use the speed of light, which is approximately \(299,792,458\) meters per second. The total travel time for the radar signal is 2.7 seconds.
The formula to calculate the distance \(d\) is:
\[ d = \frac{{\text{speed of light} \times \text{time}}}{2} \]
Substituting the known values:
\[ d = \frac{{299,792,458 \, \text{m/s} \times 2.7 \, \text{s}}}{2} \]
By performing the calculation, you arrive at the approximate distance from Earth to the moon at that time.](https://content.bartleby.com/qna-images/question/d32c0099-d35b-45af-b7af-24c06e9e82b9/dfb5470c-6484-4d6a-8c13-e6106762eb93/mxc615fe_processed.png)
Transcribed Image Text:**Problem 27:** A radar signal took 2.7 seconds to travel to the moon and back. How far away was the moon at that time?
To determine the distance between the Earth and the moon, we can use the speed of light, which is approximately \(299,792,458\) meters per second. The total travel time for the radar signal is 2.7 seconds.
The formula to calculate the distance \(d\) is:
\[ d = \frac{{\text{speed of light} \times \text{time}}}{2} \]
Substituting the known values:
\[ d = \frac{{299,792,458 \, \text{m/s} \times 2.7 \, \text{s}}}{2} \]
By performing the calculation, you arrive at the approximate distance from Earth to the moon at that time.
Transcribed Image Text:The image demonstrates the electromagnetic spectrum, showcasing the relationship between frequency (f) and wavelength (λ).
**Top Axis (Frequency):**
- The axis shows the frequency in hertz (Hz), increasing from left to right.
- The frequency scale ranges from \(10^2\) Hz (low frequency) to \(10^{24}\) Hz (high frequency).
**Bottom Axis (Wavelength):**
- The axis depicts wavelength in meters (m), decreasing from left to right.
- The wavelength scale ranges from \(10^6\) m (long wavelength) to \(10^{-14}\) m (short wavelength).
**Regions of the Electromagnetic Spectrum:**
- **Radio Waves:** Located at the leftmost part, characterized by low frequency and long wavelength. Includes AM, FM, and TV waves.
- **Microwave:** Higher frequency and shorter wavelength than radio waves. Includes radar waves.
- **Infrared:** Positioned after microwaves with shorter wavelengths.
- **Visible Light:** Small segment in the middle, ranging from 700 nm (red) to 400 nm (violet).
- **Ultraviolet:** Follows visible light, having yet higher frequencies and shorter wavelengths.
- **X-rays:** Come after ultraviolet, with even more elevated frequencies.
- **Gamma (\(\gamma\)) Waves:** At the rightmost end, featuring the highest frequency and shortest wavelength, described as high f, short λ.
**Visible Light Spectrum:**
- An enlarged section shows the visible light spectrum in detail, indicating colors corresponding to wavelengths from 700 nm (red) to 400 nm (violet).
This diagram effectively illustrates how electromagnetic waves vary across different regions in terms of frequency and wavelength.
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- 1. Radio waves transmitted through space at 3 x10°m/s by the Voyager spacecraft have a wavelength of 0.133 m. What is their frequency? Frequency, f:arrow_forwardWhat is the frequency of infrared light of 1.0*10^-4 wavelength?arrow_forward15.) Because gamma rays have the highest frequency and carry the most energy, a. they are sometimes used to kill cancer cells b. they are widely used for communication over long distances c. they are very valuable for thermal imagingarrow_forward
- A local radio station broadcasts radio waves at 99.7 MHz. Unlike sound, radio waves can pass into outer space, because they are disturbances not in air molecules but in the e-m fields that exist even in the vacuum of space. It's energy traveling independent of matter. a. When that radio wave hits you, how many pulses (wave crests) of em radiation hit you per minute (60 seconds)? (reminder: M = 10 6) b. Radio waves move at the speed of light (c), how far apart is each wave crest (wavelength)? c. If we boosted the signal strength so that station could be heard on the moon, would either the wavelength or frequency change?arrow_forwardA high-altitude airplane is used to make observations a. at gamma-ray wavelengths. b. at X-ray wavelengths. c. in the ultraviolet. d. in the infrared.arrow_forwardWhat is the most amount of time (in minutes) for a signal from the Mars Rover to reach Earth? (This is when Mars and Earth are farthest apart at 401 million km.)arrow_forward
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