proton and an alpha particle (charge = 2e, mass = 6.64 ✕ 10−27 kg) are initially at rest, separated by 5.84 ✕ 10−15 m. (a) If they are both released simultaneously, explain why you can't find their velocities at infinity using only conservation of energy. (b) What other conservation law can be applied in this case? (c) Find the speeds of the proton and alpha particle, respectively, at infinity.

proton and an alpha particle (charge = 2e, mass = 6.64 ✕ 10−27 kg) are initially at rest, separated by 5.84 ✕ 10−15 m. (a) If they are both released simultaneously, explain why you can't find their velocities at infinity using only conservation of energy. (b) What other conservation law can be applied in this case? (c) Find the speeds of the proton and alpha particle, respectively, at infinity.

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter5: Gravitation

Section: Chapter Questions

Problem 5.4P

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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.

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proton and an alpha particle (charge = 2e, mass = 6.64 ✕ 10⁻²⁷ kg) are initially at rest, separated by 5.84 ✕ 10⁻¹⁵ m.

(a) If they are both released simultaneously, explain why you can't find their velocities at infinity using only conservation of energy.

(b) What other conservation law can be applied in this case?

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