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A 0.5 kg mass attached to a linear spring, with spring constant 5 N/m and damping constant 0.2 kg/s, is initially displaced 10 cm from equilibrium.
(a) What is the natural frequency of oscillation?
(b) What is its period of oscillation?
(c) How long does it take for the amplitude to decrease to 10% of its starting value?
(d) How many oscillations have occurred in this time?
(e) What fraction of the initial energy remains after this time?Please show all work necessary.
An airplane must reach a speed of 189mi/h to take off. If the runway is 472m long, what is the minimum value of acceleration that will allow the airplane to take off successfully.
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Much of the material making up Saturn's rings is in the form of tiny dust grains having radii on the order of 10-6 m. These grains are located in a region containing a dilute ionized gas, and they pick up excess electrons. As an approximation, sup..
A jogger accelerates from rest to 5.87 m/s in 3.53 s. A car accelerates from 21.3 to 34.7 m/s also in 3.53 s. (a) Find the magnitude of the acceleration of the jogger. (b) Find out the magnitude of the acceleration of the car. (c) How much further..
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A point charge is a = 1.5 m below the end of a continuously charged rod with charge Q = 5 ?C, Write an expression for the differential element of the y component of the Electric Field at P in terms of the charge density
Two equal charges Q are positioned at points (x=l, y=0) and (x=-1, y=0).Find where the field is a maximum. define your answer in terms of the variables , , and appropriate constants. If there is more than one answer, separate them by a comma.
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