Final answer:
Radio waves, which are a form of electromagnetic radiation, travel at the speed of light in a vacuum. The time it would take for a message to travel from Earth to a spacecraft orbiting Mars can be calculated using the formula Time = Distance / Speed, where the distance is given as 7.8 × 10^10 m.
Step-by-step explanation:
Radio waves, which are a form of electromagnetic radiation, travel at the speed of light in a vacuum, which is approximately 3.0 × 10^8 m/s. To calculate the time it would take for a message to travel from Earth to a spacecraft orbiting Mars, we can use the formula:
Time = Distance / Speed
Given the distance between Earth and the spacecraft is 7.8 × 10^10 m, the time it would take for the message to reach the spacecraft is:
Time = (7.8 × 10^10 m) / (3.0 × 10^8 m/s) = 260 seconds.