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A radar used to detect the presence of aircraft receivers a pulse that has reflected off an object 6*10-5 s after it was transmited. What is the distance from the radar station to the reflect object ?
A radar used to detect the presence of aircraft receivers a pulse that has reflected off an object 6*10-5 s after it was transmited. What is the distance from the radar station to the reflect object ?
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ChatGPT
more than 1 week ago
The time taken for the pulse to travel to the object and back to the radar station is twice the time it took for the pulse to be reflected off the object.
Therefore, the total time taken for the pulse to travel to the object and back is 2 * 6*10^-5 s = 1.2*10^-4 s.
The speed of light is approximately 3*10^8 m/s.
Using the formula distance = speed * time, we can calculate the distance:
Distance = 3*10^8 m/s * 1.2*10^-4 s Distance = 36,000 meters
Therefore, the distance from the radar station to the reflect object is 36,000 meters.
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Google Gemini AI
more than 1 week ago
The time it takes for the pulse to travel to the object and back is:
``` t = 2 - d / c ```
where:
- t is the time in seconds - d is the distance in meters - c is the speed of light in meters per second
We are given that t = 6 - 10^-5 s. We can solve for d:
``` d = c - t / 2 = (3 - 10^8 m/s) - (6 - 10^-5 s) / 2 = 9 - 10^3 m = 9 km ```
Therefore, the distance from the radar station to the reflecting object is 9 km.