During an experiment a signal from space-ship reach the ground station...
Time taken=5min=5*60s=300sec
speed of signal u =3*10^8 m/s
Distance=??
we know that
speed= Distance/time
Distance= Speed*Time
putting the value
Distance= 3*10^8 * 300
Distance = 9*10^10m
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During an experiment a signal from space-ship reach the ground station...
Understanding the Problem
To calculate the distance from the spaceship to the ground station, we can use the basic formula of distance, which is given by:
Distance = Speed × Time
Here, the speed of light is approximately \( 3 \times 10^8 \) meters per second (m/s), and the time taken for the signal to reach the ground station is 5 minutes.
Converting Time to Seconds
Since the speed is in meters per second, we need to convert the time from minutes to seconds:
- 1 minute = 60 seconds
- 5 minutes = \( 5 \times 60 = 300 \) seconds
Calculating the Distance
Now, we can substitute the values into the distance formula:
- Speed of light = \( 3 \times 10^8 \) m/s
- Time = 300 seconds
Thus,
- Distance = \( 3 \times 10^8 \, \text{m/s} \times 300 \, \text{s} \)
Calculating this gives:
- Distance = \( 9 \times 10^{10} \) meters
Conclusion
The distance of the spaceship from the ground station is \( 9 \times 10^{10} \) meters, which can also be expressed as 90 billion meters, or 90 million kilometers. This vast distance highlights the incredible scale of space and the time it takes for signals to travel at light speed.
During an experiment a signal from space-ship reach the ground station...
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