Final answer:
To calculate the distance from a radar station to a reflecting object, you multiply the speed of light (3x10^8 m/s) by the travel time of the radar pulse (6x10^-5 s), and divide by 2, resulting in a distance of 9 kilometers.
Step-by-step explanation:
To find the distance to a reflecting object using a radar, you can use the formula:
Distance = (Speed of the pulse × Time of travel) / 2
The speed of a radar pulse is the speed of light, which is approximately 3×108 meters per second. The time of travel is the time it takes for the pulse to go to the object and back. Since we are given the time as 6×10−5 seconds and we want to find the one-way distance, we divide the roundtrip time by 2.
Using these values, the calculation is as follows:
- Speed of light (c) = 3×108 m/s
- Time (t) = 6×10−5 s
- Distance (d) = (c × t) / 2
- Distance (d) = (3×108 m/s × 6×10−5 s) / 2
- Distance (d) = (18×103 m) / 2
- Distance (d) = 9×103 m
Therefore, the distance from the radar station to the reflecting object is 9 kilometers.