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1. For a series RLC circuit with resistance 5 KOhm, capacitance 100 picoFarad, and inductance 0.025 Henry, what is the inductive and capacitive reactance, and the impedance at frequency 80 kHz, and what are the natural and the free oscillation mode frequencies? Provide the results within 1 Hz accuracy.
2. Experimentally, the free oscillation mode frequency is obtained by a read out from the oscilloscope screen. A student has found that 5 full periods of the damped oscillations cover 5.0 major divisions on the horizontal scale, with time-sweep knob indicating 10 microsecond/division. What is the frequency obtained from the experimental read out? With preserved setting of the oscilloscope (and a time-sweep subdivision being 0.2 of the horizontal division), is it possible to distinguish this read out from the resonance frequency f0 theoretically obtained in Problem 1, and examined experimentally too?
Neglect air resitance. Find rocket's kinetic energy when the rocket is 1000 km above Earth's surface. Illustrate what is the max heigh that the rocket reaches.
Two balls of the same mass are accelerated by different net forces such that one ball gains a velocity twice that of the other ball in the process. Is the work done by the net force acting on the faster moving ball twice that done on the slower mo..
Speedboat A negotiates a curve whose radius is 150 m. Speedboat B negotiates a curve whose radius is 190 m. Each boat experiences the same centripetal acceleration. What is the ratio vA/vB of the speeds of boats.
A 203 rad dose of radiation is administered to a patient in an effort to combat a cancerous growth. Suppose that all of the energy deposited is absorbed by the growth.
A student walks 24 m from her math class and then turns 90° and walks 10 m to her locker, that is directly north of her class. What is her total displacement.
A styrofoam cooler (k = 0.030 W/(m·K)) has outside dimensions of 0.270 m by 0.230 m by 0.280 m, and an average thickness of 2.6 cm. About how long would it take for 1.60 kg of ice at 0 °C to melt in the cooler if the outside temperature is 30.0 °C..
A parachutist descending at a speed of 13.4 m/s loses a shoe at an altitude of 54.2 m. Illustrate what is the velocity of the shoe just before it hits the ground? The acceleration of gravity is 9.81 m/s2.
A chair of mass 13.0kg is sitting on the horizontal floor; the floor is not frictionless, Use Newton's laws to calculate the normal force that the floor exerts on the chair
An ocean liner leaves New York City and travels 16.10 ° north of east for 234 km. How far east and how far north has it gone? In other words, what are the magnitudes of components of the ship's displacement vector in directions (a) due east and (b..
A 59.0 kg pole vaulter running at 9.5 m/s vaults over the bar. If the vaulter's horizontal component of velocity over the bar is 1.5 m/s and air resistance is disregarded, how high was the jump.
In order to fabricate a uniform wire of resistance 2.7 ?, out of m=1 g copper which has a density of 8.92×103 kg/m3, What should be the length of the wire
A pulsed carbon dioxide laser has an energy output of 1.00 J. This energy is released in the form of a 10^9 W pulse of infrared radiation lasting 10^-9 s, Find the equivalent capacitance of the network
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