Problem 2:  You are hiking along a trail in a wide, dry canyon where the outdoor temperature is T = 25.5° C. To determine how far you are away from the canyon wall you yell “Hello” and hear the echo t = 1.95 s later.Randomized Variables T = 25.5° Ct = 1.95 s       Part (a) Calculate the speed of sound in the valley in meters per second, assuming the speed at 0° C is 332 m/s.Numeric   : A numeric value is expected and not an expression.v = __________________________________________Part (b) How far are you from the canyon wall, in meters?Numeric   : A numeric value is expected and not an expression.D = __________________________________________Part (c) If you stood at the same point on a cold morning where the temperature was T2 = -5.5 degrees C, how long would it have taken for you to hear the echo, in seconds?Numeric   : A numeric value is expected and not an expression.t2 = __________________________________________

You are standing on a train station platform as a train goes by close to you. As the train approaches, you hear the whistle sound at a frequency of f1 = 93 Hz. As the train recedes, you hear the whistle sound at a frequency of f2 = 79 Hz. Take the speed of sound in air to be v = 340 m/s.  Find an equation for the speed of the sound source vs, in this case it is the speed of the train. Express your answer in terms of f1, f2, and v.   Find the numeric value, in meters per second, for the speed of the train.   Find an equation for the frequency of the train whistle fs ("s" is for "source") that you would hear if the train were not moving. Express your answer in terms of f1, f2, and v.   Find the numeric value, in hertz, for the frequency of the train whistle fs that you would hear if the train were not moving.

You are standing on a train station platform as a train goes by close to you. As the train approaches, you hear the whistle sound at a frequency of f1 = 94 Hz. As the train recedes, you hear the whistle sound at a frequency of f2 = 77 Hz. Take the speed of sound in air to be v = 340 m/s. Find an equation for the speed of the sound source vs, in this case it is the speed of the train. Express your answer in terms of f1, f2, and v.  Find the numeric value, in meters per second, for the speed of the train.  Find an equation for the frequency of the train whistle fs ("s" is for "source") that you would hear if the train were not moving. Express your answer in terms of f1, f2, and v.

If a stationary dolphin emits a call at a sound frequency of 53 kHz. The sound wave reflects off a fish moving directly towards the dolphin. And the sound wave echo returns at a frequency of 55 kHz. What is the speed of the fish? The speed of sound is 343 m/s.

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Gamma-ray bursters are objects in the uni- verse that emit pulses of gamma rays with high energies. The frequency of the most en- ergetic bursts has been measured at around 3.0 x 1021 Hz. The speed of light is 3 x 10° m/s. What is the wavelength of these gamma rays? Answer in units of m.

On a 20°C°C night, a bat hovering in the air emits an ultrasonic chirp that has a frequency of 45 kHzkHz. It hears an echo 60 msms later. Suppose the object is an insect flying straight away from the bat. What is the insect's speed if the ultrasonic echo is shifted down in frequency by 750 Hz?

Two students use a 40 Hz tape timer to measure the time of fall of a ball from a height. They count 239 dots on the tape. What is the time of fall of the ball?

A wave pulse is traveling on a string with a speed v towards the positive x-axis. The shape of the string at t = 0 is given by g(x) = A sin(x/a), where A and a are constants. (a) What are the dimensions of A and a? (b) Write the equations of the wave for a general time t, if the wave speed is v.