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Gven the relationship between angular frequency and wave number derived from some wave equation, find the dispersion relation for the waves and their phase velocity, and determine whether the system is dispersive or nondispersive.
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Question: A pendulum is made by tying a 590 g ball to a 47.0 cm-long string. The pendulum is pulled 22.0^\circ to one side, then released. What is the ball's speed at the lowest point of its trajectory? To what angle doe ...
Questio: A pump is required to lift a mass of 850 kg of water per minute from a well of depth 13.8 m and eject it with a speed of 17.2 m/s. part A. How much work is done per minute in lifting the water? part B. How much ...
Question: A simple pendulum oscillates with frequency f. a) what is its frequency if the entire pendulum accelerated 0.43 g upward? b) what is its frequency if the entire pendulum accelerates 0.43 g downwards? The respon ...
A soccer player kicks the ball that travels a distance of 45.0 m on a level field. The ball leaves his foot at an initial speed of (v0) and an angle of 25.0° above the ground. Find the initial speed (v0) of the ball.
Problem: The orbital speed of the Sun relative to the center of the Milky Way is about 250 km/s. By what fraction do the relativistic and Newtonian values differ for (a) the Sun's momentum and (b) the Sun's kinetic energ ...
Question: A piano tuner stretches a steel piano wire with a tension of 765 N. The steel wire has a length of 0.500m and a mass of 3.75g . 1. What is the frequency f1 of the string's fundamental mode of vibration? 2. What ...
Question: A proton and an alpha particle are momentarily at rest at a distance r from each other. They then begin to move apart. Find the speed of the proton by the time the distance between the proton and the alpha part ...
Question: It is proposed that future space stations create an artificialgravity by rotating. Suppose a space station is constructed as a1000-m-diameter cylinder that rotates about its axis. The insidesurface is the deck ...
Question: A single mass m1 = 4 kg hangs from a spring in a motionless elevator. The spring is extended x = 12 cm from its unstretched length. 1) What is the spring constant of the spring? 2) Now, three masses m1 = 4 kg, ...
Question: The Otto-cycle engine in a Mercedes-Benz SLK230 has a compression ratio of 8.8. A. What is the ideal efficiency of the engine? Use γ=1.40. Express your answer using two significant figures. B. The engine in a ...
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