A source of frequency of 60 Hz is used to make waves in a rope that is 3.0m long. It takes 0.10s for the waves to travel from one fixed end of the rope to the other. How many loops are in the standing wave in the rope?

An oceanic depth-sounding ship surveys the ocean bottom near the Mariana Trench, the deepest known location under the ocean. They use ultrasonic sound that travels at 1430 m/s in sea water. They find a 15.4 s delay of the echo to the ocean floor and back. What is the depth? (Image credit: https://www.scientificamerican.com/article/the-mariana-trench-is-7-miles-deep-whats-down- there/) Show Your Work

A nylon guitar string has a linear density of 7.2 g/m and is under a tension of 244.9 N. The fixed supports are D = 73.8 cm apart. The string is oscillating in the standing wave pattern shown in the figure. What is the frequency of the standing wave? Express your answer in Hz, to at least one digit after the decimal point.

How powerful must the outboard motor of a 530 kg boat be if it can ride up the face of a 23 degree wave with its 85 kg driver at a constant 55 km/hr while the coefficient of friction between the boat’s hull and the water is .46? Please answer the question on paper. I do not understand when it is typed out. Thank you

Ball having mass 5.5kg and velocity 7.6m/s travels to the east. Impulse given at point O, makes it change direction to north with velocity 4.8 m/s. What is the direction of the given impulse, measured in unit of degrees, if the angle is defined as between the horizontal direction (east) and the impulse?

The wave function that models a standing wave is given as yR (x, t) = 6.00 cm sin (3.00 m−1 x + 1.20 rad) cos (6.00 s−1 t + 1.20 rad). What are two wave functions that interfere to form this wave function? Plot the two wave functions and the sum of the sum of the two wave functions at t = 1.00 s to verify your answer.

We used an experimental setup like the one shown below. The length of the string between the string vibrator and the pulley is L = 2.00 m. The mass per unit length or linear density of the string is μ = 0.0005 kg/m. The string vibrator can oscillate at any frequency. The hanging mass is 511 g. Frictionless pulley String vibrator μl= dm dx The wavelength of the fifth mode (n = 5) is m. The frequency of the fifth mode (n = 5) is Hz. The tension in the string is close to When the mode of vibration is increased to n = 10, the wave speed of the string will → 2 The wave speed on the string is m/s. N. constant Drag answer here Drag answer here Drag answer here Drag answer here Drag answer here m Hanging mass 500 125 remain the same 0.8 100 2.0 increase

The ionosphere is the ionized part of the upper layer of the earth's atmosphere. The air molecules there are ionized by solar radiation. This layer of the atmosphere is a fairly good conductor, and radio waves are often "bounced" off the bottom of the ionosphere back toward the earth, in a process called skip or skywave propagation. Due to these properties, the space between the surface of the earth and the bottom of the ionosphere acts like a closed wave guide that will exhibit resonance for very low frequencies. Resonance excitations in the cavity are caused by lightning strikes, which hit the earth about 50 to 100 times a second. These low atmospheric resonance frequencies are known as Schumann resonances, named after the physicist Winfried Otto Schumann, who first calculated them in 1952. There are several Schumann frequencies that occur in the low frequency background, which ranges from 3 to 60 Hz. The highest intensity resonance mode (called the fundamental) occurs at 7.83 Hz.…

The total mass of a single stage rocket as it sits on the pad ready for launch is 3.20 × 106 kg. If fuel is consumed at the rate of 2.30 x 104 kg/s and the speed of the exhaust is 2.82 x 10° m/s, determine the following. (a) thrust produced by the engine (b) magnitude of the acceleration of the rocket just as it lifts off the launch pad 7m/s2

In the arrangement shown in the figure below, an object of mass m = 4.0 kg hangs from a cord around a light pulley. The length of the cord between point P and the pulley is L = 2.0 m. (Ignore the mass of the vertical section of the cord.) a Vibrator m (a) When the vibrator is set to a frequency of 170 Hz, a standing wave with six loops is formed. What must be the linear mass density of the cord? 3.05 10.31 kg/m (b) How many loops (if any) will result if m is changed to 144 kg? (Enter 0 if no loops form.). 1 loops (c) How many loops (if any) will result if m is changed to 10 kg? (Enter 0 if no loops form.) 4 Examine how changing the mass affects the wave speed and wavelength and how that affects the number of loops. loops Need Help? Read it