QuestionJune 25, 2025

During an ultrasound, sound waves are sent by a transducer through muscle tissue at a speed of 1,300m/s. Some of the sound waves are reflected from a metal fragment 5.0 cm into the muscle tissue. How long did it take the transducer to detect the reflected waves from the metal fragment after they were first emitted? (4 points) 0.26 seconds 39 seconds 4.6 E-5 seconds 7.7E-5 seconds

During an ultrasound, sound waves are sent by a transducer through muscle tissue at a speed of 1,300m/s. Some of the sound waves are reflected from a metal fragment 5.0 cm into the muscle tissue. How long did it take the transducer to detect the reflected waves from the metal fragment after they were first emitted? (4 points) 0.26 seconds 39 seconds 4.6 E-5 seconds 7.7E-5 seconds
During an ultrasound, sound waves are sent by a transducer through muscle tissue at a speed of 1,300m/s. Some of the sound waves are reflected from a metal fragment 5.0 cm into the muscle tissue. How long did it take the transducer to detect the reflected waves from the metal fragment after they were first emitted? (4 points) 0.26 seconds 39 seconds 4.6 E-5 seconds 7.7E-5 seconds

Solution
4.5(275 votes)

Answer

7.7 \times 10^{-5} \text{ seconds} Explanation 1. Calculate the total distance traveled The sound waves travel to the fragment and back, so the total distance is 2 \times 5.0 \text{ cm} = 10.0 \text{ cm} or 0.10 \text{ m}. 2. Use the speed formula to find time **Time** is calculated using the formula: t = \frac{d}{v}, where d is distance and v is speed. Here, t = \frac{0.10 \text{ m}}{1300 \text{ m/s}}.

Explanation

1. Calculate the total distance traveled<br /> The sound waves travel to the fragment and back, so the total distance is $2 \times 5.0 \text{ cm} = 10.0 \text{ cm}$ or $0.10 \text{ m}$.<br />2. Use the speed formula to find time<br /> **Time** is calculated using the formula: $t = \frac{d}{v}$, where $d$ is distance and $v$ is speed. Here, $t = \frac{0.10 \text{ m}}{1300 \text{ m/s}}$.
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