Please select the correct statement about the amplitude of a wave. a. The amplitude of a wave can be either a positive or a negative value. ☐ b. The amplitude of a wave can be a negative value. О с. The amplitude of a wave is always a positive value.

The displacement of the air molecules in sound wave is modeled with the wave function s(x,t)=5.00nmcos(91.54m1x3.14104s1t) . (a) What is the wave speed of the sound wave? (b) What is the maximum speed of the air molecules as they oscillate in simple harmonic motion? (c) What is the magnitude of the maximum acceleration of the air molecules as they oscillate in simple harmonic motion?

The equation of a harmonic wave propagating along a stretched string is represented by y(x, t) = 4.0 sin (1.5x 45t), where x and y are in meters and the time t is in seconds. a. In what direction is the wave propagating? be. N What are the b. amplitude, c. wavelength, d. frequency, and e. propagation speed of the wave?

A standing wave on a string is described by the equation y(x, t) = 1.25 sin(0.0350x) cos(1450t), where x is in centimeters, t is in seconds, and the resulting amplitude is in millimeters. a. What is the length of the string if this standing wave represents the first harmonic vibration of the string? b. What is the speed of the wave on this string?

A sound wave propagates in air at 27C with frequency 4.00 kHz. It passes through a region where the temperature gradually changes and then moves through air at 0C. Give numerical answers to the following questions to the extent possible and state your reasoning about what happens to the wave physically. (a) What happens to the speed of the wave? (b) What happens to its frequency? (c) What happens to its wavelength?

A sinusoidal wave travels along a string is described by y (x, t) = 0.00351 sin (65.3 x – 2.45 t) the measurements are in SI units (0.00351 m, 65.3 rad/m, and 2.45 rad/s). a. Calculate the amplitude of the wave. b. Determine the wavelength and period of the wave? c. Find the speed of the wave.   answer key: a. 3.51 mm b. 9.62 cm, 2.565 s c. 3.75 cm/s   Please show complete solution with given and formula

D. inversely proportional to the square of the amplit 2. If the amplitude of sine wave is doubled, the intensity A. Remains the same. C. Increases by factor 4. D. Increases by factor 16 B. Increases by factor 2. 3. A mass suspended from the end of the spring vibrates up and down frequency and period of the vibration? A 1.5Hz, 0.67sec. 4. Á block of mass 1.6kg is attached to a horizontal spring that has forc compressed 2cm and is then released from rest. At what speed will position if a constant friction force of 1ON retards its motion from th A 70m/s. 5. Which one of the following statements is true a spring-mass system B. 0.67HZ, 1.5 sec. C. 0.0012HZ, 864sec. B. 50m/s. C. 70cm/s. uface? 11 time

A harmonic transverse wave function is given by y(x, t) = (1.5 m) sin(10.5x + 20.2t) Where all values are in the appropriate SI units. i. What are the propagation speed and direction of the wave's travel? ii. What are the wave's period and wavelength? What is the amplitude of the transverse wave? If the amplitude is doubled, what happens to the speed of wave? 111. iv.

A wave initially has an amplitude of 2m, but its amplitude soon changes to 4m. What is the new wave energy compared to the original wave energy? a. The new wave energy is double (2x) the original wave energy. b. The new wave energy is the same as the original wave energy.c. The new wave energy is quadruple (4x) the original wave energy.d. The new wave energy is half (1/2) of the original wave energy.

2. The movement of a certain wave is modelled by the equation f (t) = 30 cos 50nt. a. Find its amplitude, period and frequency. b. Sketch one cycle of the wave defined by the function.