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A particle has a rest mass of $6.64 \times 10^{-27} \mathrm{kg}$ and a momen-tum of $2.10 \times 10^{-18} \mathrm{kg} \cdot \mathrm{m} / \mathrm{s}$ . (a) What is the total energy(kinetic plus rest energy) of the particle? (b) What is the kinetic energy of the particle? (c) What is the ratio of the kinetic energy to the rest energy of the particle?

$=0.4525$

Physics 101 Mechanics

Chapter 27

Relativity

Gravitation

Simon Fraser University

University of Sheffield

University of Winnipeg

Lectures

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Sir Isaac Newton described the law of universal gravitation in his work "Philosophiæ Naturalis Principia Mathematica" (1687). The law states that every point mass attracts every single other point mass by a force pointing along the line intersecting both points. The force is proportional to the product of the two masses and inversely proportional to the square of the distance between them.

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all right. And this problem, we're given arrest Massive 6.64 times 10 to the negative 27 and a momentum of 2.1 times 10 to the negative 18. And the energy mo mentum and rest mass of a particle are related through this formula here. So if we want to solve for E, we simply rearrange this equation and plug in on the values that were given with C of course, being equal to three times 10 to the right in part B, we were asked just for the kinetic energy. So we take our answer to part A and we subtract off M C squared and in part, See, we want to know on what fraction of the rest energy is the kinetic energy. And so we simply divide your answer to be by m c squared.

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