A space probe on the surface of Mars sends a radio signal back to earth a distance of 8.66x0^7 km. Radio waves travel at the speed of light (3:00x10^8 m/s . How many seconds does it take the signal to reach earth
d = V*T = 8.66*10^7km = 8.66*10^10 m.
3*10^8 * T = 8.66*10^10.
To calculate the time it takes for the radio signal to reach Earth from Mars, we need to use the formula:
Time = Distance / Speed
Given:
Distance = 8.66 x 10^7 km
Speed = 3.00 x 10^8 m/s
First, we need to convert the distance from kilometers to meters since the speed is given in meters per second.
1 kilometer = 1000 meters
Therefore, the distance is equal to 8.66 x 10^7 km * 1000 m/km = 8.66 x 10^10 meters.
Now, we can calculate the time:
Time = 8.66 x 10^10 meters / 3.00 x 10^8 m/s
By dividing these two values, we get:
Time ≈ 2.887 seconds
So, it takes approximately 2.887 seconds for the radio signal to reach Earth from Mars.