Two truckers are traveling directly away from each other at the same speed. If one trucker...

Two truckers are traveling directly away from each other at the same speed. If one trucker sounds her horn at a frequency of 236 Hz, and the other trucker hears a frequency of 223 Hz, determine the speed of the trucks. Use the speed of sound as 343 m/s.

Solutions

Expert Solution

Given the actual frequency of the horn of the source truck f = 236Hz, the frequency heard by the listener truck is f' = 223Hz and the speed of the sound v = 343m/s. Let and be the speed of source and listener truck respectively. Using Doppler equation, the apparent frequency heared by the listener is given by

Since the source and listener are receding fom each other, is negative and is positive. Therefore,

Here the speed of the source and listener are same. So . Now,

So the speed of the trucks is 9.71m/s.

genius_generous answered 1 year ago

Next > < Previous

Related Solutions

A rocket of rest length 90 meters is traveling at speed 4/5c directly away from earth....

A rocket of rest length 90 meters is traveling at speed 4/5c directly away from earth. The rocket encounters an asteroid of length 80 meters also travelling directly away from the earth but at speed 3/5c. a)According to the captain of the rocket, what is the velocity of the rocket relative to the asteroid? b)At the front of the rocket, the captain of the rocket becomes aware of the asteroid and activates a warning signal. It takes one hour before...

Two racing boats set out from the same dock and speed away at the same constant...

Two racing boats set out from the same dock and speed away at the same constant speed of 103 km/h for half an hour (0.500 h), the blue boat headed 26.8

A 790-kg two-stage rocket is traveling at a speed of 6.60×103 m/s away from Earth when...

A 790-kg two-stage rocket is traveling at a speed of 6.60×103 m/s away from Earth when a predesigned explosion separates the rocket into two sections of equal mass that then move with a speed of 2.80×103 m/s relative to each other along the original line of motion What is the speed of each section (relative to Earth) after the explosion? Express your answers using three significant figures separated by a comma. V1,V2= What are the direction of each section (relative...

A 720-kg two-stage rocket is traveling at a speed of 6.90×10^3 m/s away from Earth when...

A 720-kg two-stage rocket is traveling at a speed of 6.90×10^3 m/s away from Earth when a predesigned explosion separates the rocket into two sections of equal mass that then move with a speed of 2.10×10^3 m/s relative to each other along the original line of motion.What is the speed of each section (relative to Earth) after the explosion? R/= v1=5850, v2=7950. How much energy was supplied by the explosion? [Hint: What is the change in kinetic energy as a...

Two carts on an air track have the same mass and speed and are traveling towards...

Two carts on an air track have the same mass and speed and are traveling towards each other. If they collide and stick together, find (a) the total momentum and (b) total kinetic energy of the system. (c) Describe a different colliding system with this same final momentum and kinetic energy.

Two titanium spheres approach each other head-on with the same speed and collide elastically. After the...

Two titanium spheres approach each other head-on with the same speed and collide elastically. After the collision, one of the spheres, whose mass is 200 g, remains at rest. (a) What is the mass of the other sphere? (b) Assume that the initial speed of each sphere was 2.2 m/s. What is the speed of the two-sphere center of mass?

Two charges are set on the x-axis 9.50 cm away from each other. The charges are...

Two charges are set on the x-axis 9.50 cm away from each other. The charges are -8.20 nC and 16.0 nC. Calculate the electric potential at the point on the x-axis where the electric field due to these two charges is zero.

Two charges are set on the x-axis 15.5 cm away from each other. The charges are...

Two charges are set on the x-axis 15.5 cm away from each other. The charges are -7.70 nC and 20.4 nC. Calculate the electric potential at the point on the x-axis where the electric field due to these two charges is zero.

An ambulance is traveling south at 50 m/s, away from a car that is traveling north...

An ambulance is traveling south at 50 m/s, away from a car that is traveling north at 30 m/s. The ambulance driver hears his siren at a frequency of 750 Hz. The velocity of sound is 343 m/s . What frequency (in Hz) does the driver of the car hear the siren?

Two trains are traveling toward each other at 30.6 m/s relative to the ground. One train...

Two trains are traveling toward each other at 30.6 m/s relative to the ground. One train is blowing a whistle at 580 Hz. (Give your answers to at least three significant figures.) (a) What frequency will be heard on the other train in still air? (b) What frequency will be heard on the other train if the wind is blowing at 30.6 m/s toward the whistle and away from the listener? (c) What frequency will be heard if the wind...

Subjects