A space probe on the surface of Mars sends a radio signal back to earth a t a distance of 8.66 x10*7 radio waves travel at a speed of light 3.00 x 10^8 . How many seconds does it take for it to reach earth
you don't have any units
... and Mars is more than a light-second away
8.66x10^7 km. (3.00x10^8 m/s
To calculate the time it takes for the radio signal to reach Earth from Mars, we can use the formula:
Time = Distance / Speed
where distance is the distance between Mars and Earth, and speed is the speed of light.
Given:
Distance = 8.66 x 10^7 kilometers
Speed of light = 3.00 x 10^8 meters per second
First, we need to convert the distance from kilometers to meters:
Distance = 8.66 x 10^7 kilometers * (1000 meters / 1 kilometer)
Distance = 8.66 x 10^10 meters
Now we can calculate the time:
Time = Distance / Speed
Time = (8.66 x 10^10 meters) / (3.00 x 10^8 meters per second)
To simplify the expression, we can cancel out the units:
Time = 8.66 x 10^10 / 3.00 x 10^8 (meters / meters per second)
Time = 2.89 x 10^2 seconds
Therefore, it takes approximately 289 seconds for the radio signal from the space probe on Mars to reach Earth.