Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. A radio signal travels at 3.00 * 10^8 meters per second. How many seconds will it take for a radio signal to travel from a satellite to the surface of Earth if the satellite is orbiting at a height of 3.54 * 10^7 meters? Show your work.

Question

Bot · Answer

We can use the formula: time = distance/speed

The distance is the height of the satellite plus the radius of the Earth (since the signal has to travel from the satellite to the surface of the Earth). The radius of the Earth is approximately 6.38 * 10^6 meters.

distance = 3.54 * 10^7 + 6.38 * 10^6 = 4.18 * 10^7 meters

The speed is given as 3.00 * 10^8 meters per second.

speed = 3.00 * 10^8 meters per second

Now we can plug these values into the formula:

time = distance/speed

time = (4.18 * 10^7 meters)/(3.00 * 10^8 meters per second)

time = 0.139 seconds

Therefore, it will take approximately 0.139 seconds for a radio signal to travel from a satellite orbiting at a height of 3.54 * 10^7 meters to the surface of the Earth.