Question

a spacecraft traveling out of the solar system at a speed of 0.92c sends back information at a rate of 720 hz. at what rate (in hz) do we receive the information?

Answer 1

When a spacecraft is moving at relativistic speeds, the frequency of the information it sends back to Earth is affected by time dilation. The formula to calculate the received frequency is (Received frequency = (Transmitted frequency) / (sqrt(1 - (v^2 / c^2)))). Using the given values, we can calculate the frequency received on Earth.

Step-by-step explanation:

When a spacecraft is moving at relativistic speeds, the frequency of the information it sends back to Earth is affected by time dilation. Time dilation causes time to pass more slowly for objects moving at high speeds relative to an observer. The formula to calculate the received frequency is:

Received frequency = (Transmitted frequency) / (sqrt(1 - (v^2 / c^2)))

Where:

• Received frequency is the frequency received on Earth
• Transmitted frequency is the frequency sent by the spacecraft
• v is the velocity of the spacecraft relative to Earth
• c is the speed of light in a vacuum

Using the given values:

• Transmitted frequency = 720 Hz
• v = 0.92c (where c is the speed of light)

Plugging in these values to the formula, we can find the frequency received on Earth.