A light, unstressed spring has length d. Two identical particles, each with charge q, are connected to the opposite ends of the spring. The particles are held stationary a distance d apart and then released at the same moment. The system then oscillates on a frictionless, horizontal table. The spring has a bit of internal kinetic friction, so the oscillation is damped. The particles eventually stop vibrating when the distance between them is 3d. Assume the system of the spring and two charged particles is isolated. Find the increase in internal energy that appears in the spring during the oscillations.

Q: A positive charge of 4.50 μC is fixed in place. From a distance of 4.30 cm a particle of mass 6.50 g…

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Q: A small ball with charge q = 4.3 μC and mass m = 0.045 kg is suspended from the ceiling by a string…

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Q: What are the charges of sphere (1) (q1 =?)and sphere (2) (q2=?) after the connection?

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Q: Alpha particles which have a charge +2e and mass 6.64 x 10-27 kg are initially at rest and are fired…

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Q: A particle that carries a net charge of -59.8 μC is held in a constant electric field that is…

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Q: At a corner of a 30 mm x 40 mm rectangle is placed a charge of −40μC and at the two adjacent corners…

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Q: Particle M (of mass m and charge g) and particle N (of mass 6m and charge 29) are each accelerated…

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Q: What potential difference is needed to give a helium nucleus (Q = 3.2 x 10-1ºC) 124 keV of kinetic…

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Q: An alpha particle with kinetic energy 9.50 MeV (when far away) collides head-on with a lead nucleus…

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Q: A positive charge of 4.90 µC is fixed in place. From a distance of 3.20 cm a particle of mass 6.30 g…

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Q: Four identical charged particles (g = +13.0 pC) are located on the comers of a rectangle as shown in…

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Q: The figure below shows a charged particle, with a charge of q = +39.0 nC, that moves a distance of d…

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Q: A particle with a charge of q = 14.0 μC travels from the origin to the point (x, y) = (20.0 cm, 50.0…

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Q: Consider a ring of charge with radius 4 cm and total charge +2.2 μC distributed uniformly on the…

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Q: Consider two parallel plate capacitors. Capacitor 1 (C1) has a capacitance of 1.6 μF with a vacuum…

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Q: A small ball with charge q = 12.8 μC and mass m = 0.065 kg is suspended from the ceiling by a string…

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Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.