College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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- Workers attach a 26.0 kg mass to one end of a 26.0 m long cable and secure the other end to the top of a stationary crane, suspending the mass in midair. If the cable has a mass of 26.0 kg, determine the speed of transverse waves at the middle and the bottom end of the cable. (Hint: Don't neglect the cable's mass. Because of it, the tension increases from a minimum value at the bottom of the cable to a maximum value at the top. The acceleration of gravity is g = 9.80 m/s2.) 1. speed (in m/s) at the middle of the cable M/S 2. speed (in m/s) at the bottom of the cable M/Sarrow_forwardTransverse waves on a string have a wave speed of 8.00 m / s, an amplitude of 0.070 m and a wavelength of 0.320 m.These waves travel in the +x direction, and at t = 0 the end x = 0 of the chord is at y = 0 and is moving downward. (a) Find the frequency, period and wave number k= 2/λ of these waves. (b) Write the equation for y (x, t) describing these waves. (c) Find the transverse displacement of a point on the chord at x = 0: 360m at time t = 0: 150s. (Show the formulas with explanations and steps please)arrow_forwardTwo children stretch a jump rope between them and send wave pulses back and forth on it. The rope is 4.7 m long, its mass is 0.40 kg, and the force exerted on it by the children is 31 N. (a) What is the linear mass density of the rope (in kg/m)? kg/m (b) What is the speed of the waves on the rope (in m/s)? m/sarrow_forward
- A string oscillates according to the equation y' = (0.752 cm) sin[(7/5.0 cm-1)x] cos[(29.6 t s )t]. What are the (a) amplitude and (b) speed of the two waves (identical except for direction of travel) whose superposition gives this oscillation? (c) What is the distance between nodes? (d) What is the transverse speed of a particle of the string at the position x = 1.74 cm when t = 1.17 s? (a) Number Units (b) Number Units (c) Number Units (d) Number i Unitsarrow_forwardEarthquakes at fault lines in Earth's crust create seismic waves, which are longitudinal (P-waves) or transverse (S-waves). The P-waves have a speed of about 6 km/s. Estimate the average bulk modulus of Earth's crust given that the density of rock is about 2,800 kg/m3.arrow_forwardThe drawing shows a frictionless incline and pulley. The two blocks are connected by a wire (mass per unit length = 0.0224 kg/m) and remain stationary. A transverse wave on the wire has a speed of 88.1 m/s. Neglecting the weight of the wire relative to the tension in the wire, find the masses (a) m, and (b) m2 of the blocks. m2 " 1 30.0° (a) Number Units kg (b) Number i Units kgarrow_forward
- A string that is stretched between fixed supports separated by 51.4 cm has resonant frequencies of 792.0 and 594.0 Hz, with no intermediate resonant frequencies. What are (a) the lowest resonant frequency and (b) the wave speed?arrow_forwardA 230 cm length of string has a mass of 3.7 g. It is stretched with a tension of 5.2 N between fixed supports. (a) What is the wave speed for this string? (b) What is the lowest resonant frequency of this string? (a) Number i (b) Number i Units Units <arrow_forwardWorkers attach a 28.0 kg mass to one end of a 27.0 m long cable and secure the other end to the top of a stationary crane, suspending the mass in midair. If the cable has a mass of 24.0 kg, determine the speed of transverse waves at the middle and the bottom end of the cable. (Hint: Don't neglect the cable's mass. Because of it, the tension increases from a minimum value at the bottom of the cable to a maximum value at the top. The acceleration of gravity is g = 9.80 m/s².) HINT (a) speed (in m/s) at the middle of the cable m/s (b) speed (in m/s) at the bottom of the cable m/sarrow_forward
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