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The speed of sound is an important factor in understanding how sound waves travel through different mediums. On the planet described in the exercise, known as Arrakis, the speed of sound is key to solving the problem involving an ornithoid. The speed of sound varies depending on factors like the temperature, pressure, and medium through which it travels. In Earth's atmosphere, sound travels at approximately 343 meters per second at room temperature. However, on different planets or in unique environments, this rate can differ significantly. The exercise shows that the speed of sound on Arrakis is 775 meters per second. This faster speed could be due to a denser atmosphere or different atmospheric conditions compared to Earth. Understanding the speed of sound is crucial in physics problems that involve sound wave interactions and the Doppler Effect.

Frequency is the number of waves that pass a given point per second, measured in Hertz (Hz). In the exercise, frequency is a central concept, with the male ornithoid emitting a sound at a frequency of 1200 Hz and the female hearing it at 1240 Hz due to the Doppler Effect. The difference in frequencies indicates that the sound waves are compressed as the source moves toward the observer. This is because the relative motion of the source affects how frequently the sound waves reach the observer.

• Source frequency: The frequency of the sound emitted by the source, which in this case is 1200 Hz.
• Observed frequency: The frequency at which the sound is heard by the observer, which is 1240 Hz in this scenario.

Frequency is an essential component in calculating and understanding wave behaviors and interactions in physics.

Physics problem-solving includes analyzing known values, understanding the concepts involved, and correctly applying formulas. Approaching the exercise on Arrakis involves this methodology.

• Identify known values: Note down the values provided in the problem: the ornithoid's speed at 25.0 m/s, emitted frequency at 1200 Hz, and heard frequency at 1240 Hz.


• Understanding the physics context: Comprehend how the Doppler Effect plays a part in observed frequency changes when the source approaches the observer. This understanding aids in employing the correct formula.


• Application of correct formulas: Use the Doppler Effect formula to find the unknown, which in this problem is the speed of sound.

This structured approach is fundamental in physics problem-solving, facilitating a clear and logical path to finding the solution.

Rearranging equations is a critical skill in solving physics problems where variables need to be isolated. In the exercise, we start with the Doppler Effect equation: \[ f' = f \times \frac{v}{v - v_s} \]Given this formula, rearranging the terms to solve for the speed of sound "v" requires clear steps:

• Substitute known values into the Doppler Effect equation.
• Begin by multiplying each term to eliminate the fraction, giving: \[ 1240(v - 25) = 1200v \]
• Simplify the equation through distribution: \[ 1240v - 31000 = 1200v \]
• Combine like terms to facilitate solving for v:\[ 40v = 31000 \]
• Finally, divide both sides by 40 to solve for "v": \[ v = \frac{31000}{40} = 775 \]

Rearranging equations allows the solution process to be methodical and accurate, which is vital in any physics calculations.