Classical Mechanics
Classical Mechanics
5th Edition
ISBN: 9781891389221
Author: John R. Taylor
Publisher: University Science Books
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Chapter 4, Problem 4.35P

(a)

To determine

Total energy of two masses and pulley.

(b)

To determine

Show that the equation of motion can be obtained by differentiating the equation E=constant is equal to the equation of motion obtained by applying Newton’s second law separately to the two masses and the pulley.

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The figure below shows the electric field lines for two charged particles separated by a small distance. 92 91 (a) Determine the ratio 91/92. 1/3 × This is the correct magnitude for the ratio. (b) What are the signs of q₁ and 92? 91 positive 92 negative ×
Please help me solve this one more detail, thanks
A dielectric-filled parallel-plate capacitor has plate area A = 20.0 ccm2 , plate separaton d = 10.0 mm and dielectric constant k = 4.00. The capacitor is connected to a battery that creates a constant voltage V = 12.5 V . Throughout the problem, use ϵ0 = 8.85×10−12 C2/N⋅m2 . Find the energy U1 of the dielectric-filled capacitor. The dielectric plate is now slowly pulled out of the capacitor, which remains connected to the battery. Find the energy U2 of the capacitor at the moment when the capacitor is half-filled with the dielectric. The capacitor is now disconnected from the battery, and the dielectric plate is slowly removed the rest of the way out of the capacitor. Find the new energy of the capacitor, U3. In the process of removing the remaining portion of the dielectric from the disconnected capacitor, how much work W is done by the external agent acting on the dielectric?
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