Question

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SP6 Ann measures the (relativistic) momentum of a tiny particle to be 3.2 x 103 kg mls. The mass of the particle is 8 x 10-3g, and it is moving in the-x-direction a. Find the total energy of the particle according to Ann b. Find the difference of the particle's total energy and its rest energy, and compare it to the kinetic energy of the particle calculated non-relativistically. . Write the components of the momentum 4-vector of the particle according to Ann. d. Bob moves past Ann in the +x-direction at a speed of 0.6c, and measures the energy of the same particle. Compute the energy of the particle according to Bob in two ways: i using velocity addition ii. using a lorentz transformation of the 4-vector momentum components measured by Ann Standard Problem [ SP] These are the usual problems everyone is accustomed to seeing in a physics course, and are the sorts of problems that all of the types above are intended to make you better at solving. Every homework assignment will have a few of these in it.

Answer 1

Solution pe lativistic John-A energy of the part,' e is ps momen bum rest mass m 9.22 x13 aná vest enety 's 4. 8 x1

enerて teine tie verum-vee la 읏.stic is given tacity v can be cacula ted ftom 3.2x103 -v ow 25 v2 -16で v= 크c «, non nelatiastic

o n ev awe #xlo 3x1o 飞巴 Veloci ty f the pauro foame in panti ci e I S V. relative b ob ann 一 0.6 c Xg.6

Hence momenfum of the pawhiele in (021) l_ Hence en bơ'b チ8 X1011 we huve Pan inn

C. Eonnnelaive Tann ×3·2メ10 (굿.gxia') = フ _四 they ame identical, → Both app noach nves the