As you zip through space in your PPS (personal propulsion suit), your pulse rate as you count it is 119 bpm (beats per minute). This high pulse rate serves as objective evidence of your excitement. However, an observer on the Moon, an expert in pulse rate telemetry, measures your pulse rate as slower. In fact, she detects only 0.547 times the rate you count and claims that you must be pretty calm in spite of everything that is going on. How fast are you moving with respect to the Moon?

You place your ear onto a steel railroad track and hear the sound of a distant train through the rails Δt = 3.6 seconds faster than you do through the air. The speed of sound in steel is vs = 6100 m/s while in air the speed of sound is va = 343 m/s.  (a)  Write an equation for the time it takes the sound to reach you through the air if the distance to the train is represented by D.  (b)  Write an equation for the time it takes the sound to reach you through the steel if the distance to the train is represented by D.   (c)  Use the difference in these two times to write an equation for the distance to the train.    (d)  For the given information find the distance to the train in meters.

The musical note "A" creates a sound wave that can be modeled by the function f(x)=sin(880πx)f(x)=sin⁡(880πx), where xx represents the time in seconds. An "A" note completes 440440 cycles of the sine wave per second.What is the length of time for one period of this sine wave?

A spacecraft landing on the Moon uses the Doppler effect on radar signals transmitted at a frequency of 5 GHz to determine the landing speed. The pilot discovers that the precision of the radar instrument has deteriorated to ±100 Hz. Is this adequate to ensure a safe landing? [Speed of light 300,000 kms-.]

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 = __________________________________________

For the two story building shown, ifm1 = 51000 , ( kg)m2 = 31200 , ( kg)k1=4900000 N/mk2=1880000 N/mQ8) Calculate the First Natural Frequency of the buildingQ9 ) Calculate the Second Natural Frequency of the building

A student is measuring the speed of a moving cart using the carbonated tape and he got the following. If the student measured x to be 11.5 cm. Find the speed of the cart ( in units of m/s) assuming the ticker timer has a frequency of 50 Hz. الشريط المکربن( carbonated :tape المؤقت الزمني ticker (:timer بداية الشريط Select one: O A. 0.46 O B. 1.15 O c. 0.57 O D. 5.75 O E. 2.30

(a) Seismographs measure the arrival times of earthquakes with a precision of 0.100 s. To get the distance to the epicenter of the quake, geologists compare the arrival times of S- and P-waves, which travel at different speeds. If S- and P-waves travel at 4.00 and 7.20 km/s, respectively, in the region considered, how precisely can the distance to the source of the earthquake be determined? (b) Seismic waves from underground detonations of nuclear bombs can be used to locate the test site and detect violations of test bans. Discuss whether your answer to (a) implies a serious limit to such detection. (Note also that the uncertainty is greater if there is an uncertainty in the propagation speeds of the S- and P-waves.)

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.