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The Gravitron is an amusement park ride in which riders stand against the inner wall of a large spinning steel cylinder. At some point, the floor of the Graviton drops out, instilling the fear in riders that they will fall a great height. However, the spinning motion of the Gravitron allows them to remain safely inside the ride. Most Gravitrons feature vertical walls, but the example shown in the figure has tapered walls of 25.0o. According to knowledgeable sources, the coefficient of static friction between typical human clothing and steel ranges between 0.230 to 0.390. In the figure, the center of mass of a 54.6 kg rider resides 3.00 m from the axis of rotation. As a safety expert inspecting the safety of rides at a county fair, you want to reduce the chances of injury. What minimum rotational speed (expressed in rev/s) is needed to keep the occupants from sliding down the wall during the ride? What is the maximum rotational speed at which the riders will not slide up the walls of the ride?
For a damped oscillator with a mass of 290 g, a spring constant 80 N/m and a damping coefficient of 57 g/s, what is the ratio of the amplitude of the damped oscillations to the initial amplitude at the end of 26 cycles.
A 3.1-cm-tall object is 47 cm in front of a converging lens that has a 11.8 cm focal length. Calculate the image position and height. position cm height cm.
A 9300 kg boxcar travelling at 23 m/s strikes a second boxcar at rest. The two stick together and move off with a speed of 15 m/s. What is the mass of the second car.
A point charge 8.00 nC is at the center of a cube with sides of length 0.200m. what is the electric flux through: (a) the surface of the cube (b) on of the six faces of the cube?
Water has a mass per mole of 18.0 g/mol, and each water molecule (H2O) has 10 electrons, How many electrons are there in 1.79 liters of water
Four identical charges (+3.0µ C each) are brought from infinity and fixed to a straight line. Determine the electric potential energy of this group
A street lamp weighs 180 N. It is supported by two wires that form an angle of 150° with each other. The tensions in the wires are equal.
A 8.00?F parallel-plate capacitor with circular plates is connected to a 11.0V battery. How much charge would be on the plates if their separation were doubled while the capacitor remained connected to the battery
Three radio-equipped plumbing vans are broadcasting on the samefrequency f0. Van 1 is moving east of van 2 with thespeed v, What is the frequency of each van as received by theothers
The flux through a loop is given by ?m = (0.20t 2 - 0.58t) , where ?m is in webers and t is in seconds. Find the induced emf as a function of time
What is the magnitude of the magnetic field that the spectrometer uses? In the operating room, anesthesiologists use mass spectrometers to monitor the respiratory gases of patients undergoing surgery
The flywheel of an engine has a moment of inertia 2.40- {rm kg} cdot {rm m}^{2} about its rotation axis. What is its final kinetic energy.
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