A 2.00 ✕ 106 Hz radio signal is sent a distance of 7.30 ✕ 1010 meters from Earth to a spaceship orbiting Mars. Approximately how much time does it take the radio signal to travel from Earth to the spaceship?
To find the time it takes for the radio signal to travel from Earth to the spaceship, we can use the formula:
time = distance/speed
The distance from Earth to the spaceship is given as 7.30 × 10^10 meters.
To calculate the speed of the radio signal, we can use the formula:
speed = wavelength × frequency
The frequency is given as 2.00 × 10^6 Hz.
To find the wavelength, we can use the formula:
wavelength = speed of light / frequency
The speed of light is approximately 3.00 × 10^8 meters per second.
Let's calculate the wavelength first:
wavelength = (3.00 × 10^8 m/s) / (2.00 × 10^6 Hz)
= 150 meters
Now, let's calculate the speed:
speed = (150 m) × (2.00 × 10^6 Hz)
= 3.00 × 10^8 m/s
Finally, let's calculate the time it takes for the radio signal to travel:
time = (7.30 × 10^10 m) / (3.00 × 10^8 m/s)
= 243.33 seconds
Therefore, it takes approximately 243.33 seconds for the radio signal to travel from Earth to the spaceship.
To calculate the time it takes for the radio signal to travel from Earth to the spaceship, we can divide the distance traveled by the speed of light.
The speed of light is approximately 3.00 x 10^8 meters per second (m/s).
Given:
Frequency of the radio signal = 2.00 x 10^6 Hz
Distance from Earth to the spaceship = 7.30 x 10^10 meters
First, let's calculate the wavelength (λ) of the radio signal using the formula: λ = c / f, where λ is the wavelength, c is the speed of light, and f is the frequency.
Substituting the values:
λ = (3.00 x 10^8 m/s) / (2.00 x 10^6 Hz)
λ = 150 meters
Now, we can calculate the time it takes for the radio signal to travel from Earth to the spaceship using the formula: time = distance / speed.
Substituting the values:
time = (7.30 x 10^10 meters) / (3.00 x 10^8 m/s)
time ≈ 243.33 seconds
Therefore, it takes approximately 243.33 seconds for the radio signal to travel from Earth to the spaceship orbiting Mars.
divide the distance by c (speed of light)
c = 3.00E8 m/s
the frequency is not relevant