Suppose a radio signal travels from Earth and through space at a speed of 3.0 × 108 m/s. How far into space did the signal travel during the first 25.9 minutes?
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25.9min * 60s/min * 3*10^8 m/s = _____ m
To determine how far the radio signal traveled, we need to calculate the distance using the speed of the signal and the time it took to travel.
The speed of the radio signal is given as 3.0 × 10^8 m/s, and the time is given as 25.9 minutes. However, it's important to note that the speed of light is typically rounded to 2.998 × 10^8 m/s, so we'll use this rounded value.
First, we need to convert the time from minutes to seconds because the speed is given in meters per second. There are 60 seconds in a minute, so we can convert the time as follows:
25.9 minutes * 60 seconds/minute = 1554 seconds
Now that we have the time in seconds, we can calculate the distance traveled using the formula:
Distance = Speed * Time
Distance = (2.998 × 10^8 m/s) * (1554 seconds)
Calculating this gives us:
Distance = 4.652 × 10^11 meters
Therefore, the radio signal traveled approximately 4.652 × 10^11 meters into space during the first 25.9 minutes.