Constructive and destructive interference of sound wave
Speakers A and B are viberating in phase. They are direcley facing each other, are 7.80 m apart, and are eack playing a 73.0-Hz tone. The speed of sound is 343 m/s. On the line between the speakers there are three points where constructive interference occurs. What are the distance of these three points from speaker A?
Working with conservation of mechanical energy.
A 12 kg block is released from rest on a 30 degree frictionless incline. Below is a block that can be compressed 2.0 cm by a force of 270 N. The block momentarily stops when it compresses the spring by 5.5 cm. How far does the block move down the incline from its rest position to this stopping point? What is the speed of the bl ...continues
Conservation of energy : Determining the reduction of mechanical energy because of air drag.
A 60 kg skier leaves the end of a ski jump with a velocity of 24 m/s directed 25 degrees above the horizontal. Suppose as a result of air drag the skier returns to the ground with a speed of 22 m/s landing 14 m vertically below the end of the ramp. From the launch to the return to the ground, by how much is the mechanical energ ...continues
In an electrically heated home, the temperature of the ground in contact with the wall is 12.8*C. The temperature at the inside surface of the wall is 20.0*C. The wall is .10m thick and has area of 9.0m^2. Assume one kiliwatt*hour of electrical energy costs $.10. How many hours are required for one dollar's worth of energy t ...continues
Calculating the frequency of a string.
When a guitar string is sounded along with a 440Hz tuning fork, a frequency of 5 Hz is heard. When the same string is sounded along with 436 Hz tuning fork, the beat frequency is 9 Hz. What is the frequency of the string?
Working with complex sound waves.
The range of human hearing is roughly from twenty hertz to twenty kilohertz. Based on these limits and a value of 343 m/s for the speed of sound, what are the lengths of the longest and shortest pipes (open at both ends and producing sound at their fundamental frequencies) that you expect to find in a pipe?
Working with heat phase change : Latent Heat.
A 10.0-kg block of ice has a temperature of -10.0 degrees C. The pressure is one atmosphere. The block absorbs 4.11 X 10^6 J of heat. What is the final temperature of the liquid water?
A skier wears a jacket filled with goose down that is 15mm thick. Another skier wears a wool sweater that is 5.0mm thick. Both have the same area. Assuming the temperature difference between the inner and the outer surfaces of each garment is the same, calculate the ratio (wool/goose down) of the heat lost due to conduction d ...continues
Working with the ideal gas law.
At the start of a trip, a driver adjusts the absolute pressure in her tires to be 2.81 x 10^5 Pa when the outdoor temperature is 284 K. At the end of the trip she measures the pressure to be 3.01 x 10^5 Pa. Ignoring the expansion of the tires, find the air temperature inside the tires at the end of the trip.
A system does 164 J of work on its environment and gains 77 J of heat in the process. Find the change in the internal energy of (a) the system and (b) the environment.