5. Two ships in a heavy fog are blowing their horns of 175 Hz when they...

5. Two ships in a heavy fog are blowing their horns of 175 Hz when they approach each other at constant speeds. The slower of the two ships has a
speed of 20.0 m/s. (I) What is the speed of the other ship if an observer on a stationary boat nearby between the two ships hears a beat frequency of
5.5 Hz? (II) While the ships are still approaching each other, the observer begins to move at 10.0 m/s towards one of the ships. The beat frequency
the observer hears has increased by at least 10 Hz. Is the observer moving towards the slower ship or the faster ship? Speed of sound = 343.0m/s

Solutions

Expert Solution

given :

f = frequency emitted by the ships = 175 Hz

the ships are moving towards each other.

v1 = speed of slower ship = 20 m/s

v2 = speed of faster ship = ?

v = speed of sound = 343 m/s

a) beat frequency observed by the stationary observer between them = 5.5 Hz.

frequency observed by the observer due to faster ship is f2.

therefore, Applying Doppler's Effect :

----(i)

frequency observed by observer due to slower ship is f1.

therefore, Applying Doppler's Effect :

-----(ii)

beat frequency = f2 -f1

=> v2 = = 29.28m/s [answer]

b) when the observer moving with a speed 10m/s towards one of the ship, the beat frequency becomes at least15.5 Hz.

Lets assume the observer is moving towards faster ship. [if f2-f1 comes out positive then my assumption is true]

frequency observed by the observer due to faster ship is f2.

therefore, Applying Doppler's Effect :

----(i)

frequency observed by observer due to slower ship is f1.

therefore, Applying Doppler's Effect :

-----(ii)

therefore,

my assumption is true, that the the observer is moving towards faster ship. [answer]

genius_generous answered 1 year ago

Next > < Previous

Related Solutions

5. A Pearson correlation statistic is only valid when the relationship between the two quantitative (continuous)...

5. A Pearson correlation statistic is only valid when the relationship between the two quantitative (continuous) variables is ____________. Explain why it is true that the slope of a line is related to the Pearson correlation statistic, r. Create a scatterplot to investigate the association between the amount of fluoride in domestic water (ppm) and the number of dental caries in permanent teeth per 100 children for 21 cities. The data are below. Create the scatterplot Describe the association you...

Find the probability that the totals 5 and 9 both appear before two 7s appear when...

Find the probability that the totals 5 and 9 both appear before two 7s appear when rolling a pair of dice repeatedly. The correct answer is 0.463673.

Two years ago, when the market rate was 5%, your company purchased a fixed asset for...

Two years ago, when the market rate was 5%, your company purchased a fixed asset for $50,000. Starting a year after the purchase, fixed asset started to bring in $20,000 annual revenue with annual costs of $8,000. The expected lifetime of the asset is 8 years. You obtained your second cash flow today and due to the changes in the market, you will need to update your revenue, costs, as well as the interest rate. Going forward, annual revenue will...

Two numbers are in the ratio 3:5. When each of these numbers is increased by 10, their ratio becomes 5:7. Find the greater number.

Exercise 5 :A) Explain why, when we combine the photon concept with the simple two-slit diffraction...

Exercise 5 :A) Explain why, when we combine the photon concept with the simple two-slit diffraction experiment (or observe two-slit diffraction with electrons) we must abandon the concept of a definite path for a small particle (often called a “quantum particle” to signify that the rules of quantum physics apply. B) Explain how the modern (quantum mechanical) view of a two slit diffraction pattern combines the wave properties of light and the particle properties.

"Draw the first 5 Brillouin zones of a two-dimensional cubic primitive reciprocal lattice." When we covered...

"Draw the first 5 Brillouin zones of a two-dimensional cubic primitive reciprocal lattice." When we covered this in in an engineering class lecture it seemed like we were just drawing lines on a 2d dotted graph and I couldn't understand what we were doing.

Subjects