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An LC circuit has zero resistance, no battery, a capacitor C=46microFarads, and an inductor L=0.2H connected in a simple loop. The capacitor and inductor store a compined total energy of U=44microJoules. If the inductor is a cylindrical solenoid of length l=9centimeters and radius r=3centimeters, find the number of coils in the solenoid. What is the maximum magnetic field inside the inductor? If the maximum electric field in the capacitor is E=1.3x103N/C and the space between the plates if filled with a dielectric of constant 100,000, what is the separation between the plates? What is the area of one of the plates?
An 8-kg ball rolling at 2 m/s when it bumps into a pillow and stops. What is the impulse
A particle is oscillating with simple harmonic motion with a period of T = 2.44 s, What is the amplitude of the particle's motion
Two electrons are confined in an extremely thin wire of length a. You may treat this wire as a one-dimensional infinite potential well. What is the energy of the ground state
A fast train has a speed of 111 km/hr. Because its wheels have a limited grip to the railway, what speed must the train mantain to keep the acceleration at the limit
If 5.20 moles of a monatomic ideal gas at a temperature of 300 K are expanded isothermally from a volume of 1.11 L to a volume of 3.53 L
The catapult on an aircraft carrier can take an aircraft from 0 to 85.6 m/s in 12.4 seconds, What is the acceleration of the aircraft when it launches
A race car goes around a level, circular track with a diameter of 1.00 km at a constant speed of 77 km/h. What is the car's centripetal acceleration in m/s2
A guitar string is vibrating in its fundamental mode, with nodes at each end. The length of the segment of the string that is free to vibrate is 0.384m. What is the amplitude of this standing wave
An object is five focal lengths from a concave mirror. How do the object and image heights compare
A 20-kg sled is pushed up a 34° slope to a vertical height of 140 m. A constant friction force of 50 N acts for the entire distance. What external work was required
An alien pilot of an intergalactic spaceship, on a mission to measure the sizes of galaxies, is traveling at 0.86c relative to the galaxy A. She determines the length of the short axis of the galaxy A to be 2.9 × 1017 km.
A power factor is 0.72 lagging and the power dissipated is 375W. 120V and a resistance of 10 ohms, showing all working out.
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