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Show that the time rate of change of mechanical energy for a damped, undriven oscillator is given by dE/dt = -bv^2 and hence is always negative. To do so, differentiate the expression for the mechanical energy of an oscillator, E = 1/2mv^2 + 1/2kx^2
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Question: A resistor with resistance R and a capacitor with capacitance C are connected in series to an AC voltage source. The time-dependent voltage across the capacitor is given by VC(t)=VC0 sin t.If R = 3k, C=100pF, V ...
question: A point charge of magnitude q is at the center of a cube with sides of length L. Part A: What is the electric flux ? through each of the six faces of the cube? Use 0 for the permittivity of free space. and Part ...
A projectile is launched at an angle of 12.0° above the horizontal. What is its initial speed if it hits a target that is located a horizontal distance of 175 m from the launch point and 11.0 m above the launch level?
Question 1: Rob was supposed to spend his two-week school work experience at his local auto-repair shop. Unfortunately, his time on the job only lasted two days. On day two, Rob was asked to get the 1-liter air tool oil ...
What is the (average) acceleration of a vehicle which speeds up from 22 m/s to 88 m/s in 21.2 seconds? please provide work to explain
Question: The starter motor of a car engine draws an electric current of 110 A from the battery. The copper wire to the motor is 4.20 mm in diameter and 1.73 m long. The starter motor runs for 0.95 s before the car engin ...
Question - A stretched string has a mass per unit length of 5.00 g/cm and a tension of 10.0 N. A sinusoidal wave on this string has an amplitude of 0.12 mm and a frequency of 100 Hz and is traveling in the negative direc ...
Question: A spring of negligible mass has force constant k = 1500N/m . Part (a): How far must the spring be compressed for an amount 3.40J of potential energy to be stored in it Part(b): You place the spring vertically w ...
Problem: Sophia exerts a steady 50-N horizontal force on a 8.6-kg box resting on a lab bench. The box slides against a horizontal friction force of 27 N Part A Find the box acceleration. Express your answer to two signi ...
Question: Part A: The electric potential along the x-axis is V =200x2V, where x is in meters. What is Ex at x =0m? Express your answer as an integer and include the appropriate units. Part B: What is Ex at x =3m? Express ...
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Why might a bank avoid the use of interest rate swaps, even when the institution is exposed to significant interest rate
Describe the difference between zero coupon bonds and coupon bonds. Under what conditions will a coupon bond sell at a p
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