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A uniform rope of mass m and length L hangs from a ceiling. (a) Show that the speed of a transverse wave on the rope is a function of y, the distance from the lower end, and is given by v = √(gy). (b) Show that the time a transverse wave takes to travel the length of the rope is given by t=2√(L/g).
A wave of amplitude Ai and wave number ki is incident on the junction of two strings. If the wave number in the second string is kt = 2ki , find the amplitudes of the transmitted and reflected waves.
A merry-go-round accelerates from rest to 0.78rad/s in 34 s. Assuming the merry-go-round is a uniform disk of radius 7.0 m, calculate the net torque required to accelerate it
A sphere of radius R1=24.5cm and mass M=1.20kg starts from rest and rolls without slipping down a 30 degree incline that is 10.0m long. Calculate its translational and rotational speeds when it reaches the bottom
An AC generator supplies an rms voltage of 230 V at 50.0 Hz. It is connected in series with a 0.600 H inductor, a 5.40 ?F capacitor and a 401 ? resistor. What is the peak voltage across the capacitor
A thin 12 cm long solenoid has a total of430turns of wire and carries a current of2.1A. Calculate the magnitude of the field inside near the center
Four rays of light are incident on a surface of water. Their angles of incidence are 20, 30, 45, y 60 degrees. Calculate the angle of refraction for each ray
A 480-kg sailboat has an acceleration of 1.17 m/s2 at an angle of 59.3 ° north of east, find the direction of the net force that acts on the sailboat
A certain pipe has resonant frequencies of 518 Hz, 666 Hz, and 814 Hz, with no other resonant frequencies between these values. What is the fundamental frequency of this pipe
Two stars orbit about their common center of mass. One of the stars has mass m1 and moves in a circular orbit at a distance a from the center of mass. What is the ratio of the orbital periods
A ray of light is traveling in a glass cube that is totally immersed in water. What is the refractive index of the glass
A small conductive rod of length 1.3 m moves with a constant velocity v=20 m/s in a direction parallel to a long wire carrying a current of 40 A. Calculate the electric potential induced across the rod
It is well known that bullets and other missiles fired atSuperman simply bounce off his chest. What is the average forece exerted by the stream of bullets onSuperman's chest
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