A space probe of the surface of Mars sends a radio signal back to the Earth, a distance of 3 x 1010 km. Radio waves travel at the speed of light (3.00 x 108 m/s).
How far away is the space probe?
How many seconds does it take for the signal to reach the Earth?
How many hours is this?
To determine the distance to the space probe, divide the given distance by the speed of light:
Distance = 3 x 10^10 km / (3 x 10^8 m/s)
To find out how many seconds it takes for the signal to reach Earth, divide the distance by the speed of light (in meters):
Time = Distance / Speed of light
To convert this time to hours, divide the time by the number of seconds in an hour (3600 seconds).
To find the distance of the space probe from Earth, you can simply use the given value of 3 x 10^10 km.
1. Distance of the space probe: The space probe is located at a distance of 3 x 10^10 km from Earth.
To calculate the time it takes for the signal to reach Earth, we need to determine the time it takes for the radio signal to travel this distance. We'll use the speed of light, which is 3.00 x 10^8 m/s.
2. Time taken for the signal to reach Earth:
Distance = Speed × Time
Rearranging the equation, we get:
Time = Distance / Speed
Converting the distance from km to meters:
Distance = 3 x 10^10 km × 10^3 m/km = 3 x 10^13 m
Plugging these values into the equation:
Time = (3 x 10^13 m) / (3.00 x 10^8 m/s) = 1 x 10^5 seconds
Therefore, it takes 1 x 10^5 seconds for the signal to reach Earth.
To convert seconds to hours, we'll use the conversion factor of 1 hour = 3600 seconds.
3. Time in hours:
Time (in hours) = (1 x 10^5 seconds) / (3600 seconds/hour)
Calculating this, we find:
Time (in hours) = 27.78 hours
So, it takes approximately 27.78 hours for the signal from the space probe to reach Earth.
234.33s
3E10 km x (1000 m/1 km) = 3E13 meters.
distance = rate x time.
3E13 = 3E8 x time.
Solve for time in seconds.
?sec x (1 min/60 sec) x (1 hour/60 min) = ?hours.