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A 2.20 kg bucket containing 10.0 kg of water is hanging from a vertical ideal spring of force constant120 N/m and oscillating up and down with an amplitude of 3.00 {\rm cm}. Suddenly the bucket springs a leak in the bottom such that water drops out at a steady rate of 2.00 {\rm{ g/s}}.
a) When the bucket is half full, find the period of oscillation.
b) When the bucket is half full, find the rate at which the period is changing with respect to time.
c) What is the shortest period this system can have?
A telephoto camera lens system needs to be able to form reasonably sized images of distant objects, Find the height of the final image formed by the two lenses. Is it upright or inverted
Suppose 2.5 mol of an ideal gas is taken from a 6m3 to a volume of 3 m3 via an isothermal compression at 30 0C. Find work done during the compression
A bug is splattered on a car windshield. Evaluate the magnitude of the windshield's force on the bug to the magnitude of the bug's force on the windshield.
The magnitude of vector vector A is 31.6 units and points in the direction 321° counterclockwise from the positive x-axis. find out the x-component of this vector.
question1a step-up transformer has 270 turns on its primary coil and 90000 turns on its secondary coil. the emf of the
a frictionless pulley which can be modeled as a 0.80 solid cylinder with a 0.30 m radius has a rope going over it. The tension in the rope is 10 N on the right side and 12 N on the left side. What is the angular acceleration of the pulley.
A 52dB sound wave strikes an eardrum whose area is 5.0×10?5m^2 . a)How much energy is received by the eardrum per second? b)At this rate, how long would it take your eardrum to receive a total energy of 7.0J?
Light of wavelength 670nm falls on two slits and produces an interference pattern in which the third-order bright red fringe is 49mm, What is the separation of the two slits
Suppose that a particle accelerator is used to move two beams of particles in opposite directions. In a particular region, electrons move to the right at 9350 m/s and protons move to the left at 1681 m/s. The particles are evenly spaced with 0.085..
George, Romeo's not often heard about older brother, was also quite in love with Juliet. One night he tried to climb a 10 m long, find the coefficent of friction between the ladder and the grass
A soap bubble strongly reflects light of 463nm, wavelength, if the index of refraction of the film is 1.35, what is the thinnest thickness the soap film can be
An ideal gas initially at pressure 8.0 atm and temperature 300K expands adiabatically until its volume doubles. Find the final pressure and temperature
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