Question

2720P2019 2. 2 points] In certain region of space, the electric potential is given by V(z,y)- Ar2+ Bry+Cy?, where A-5.00 B 2.50and C-3.00 Calculate the x- and y- components of the electric field. 3. [1 point] Two electrons are released from rest wben they are 2.0 nm apart Explain how to determine the maximum speed they reach.

Answer 1

Given electsic potental V(기,y) Ax2+ Bxy + cy" We knouw thu latian be ben electsic feld and electsic potenta ay ะ 2x[Ax2+8x 1 + cy] Es cy.coneta t) み 3x X-compone nt of electric feld (Ex)-2(5)xt (-2.5) y 1-Componant of electsic ield Ey2. 69

③ Too elector) s'eleased -fsom gust Sepend on between ㅓhe electslansg1): 2mm -> 7 K- then electaons are sepenated by a distance wohen they are at ust. The system possesses mly electnostatic potential eningy a distanca 91 when Aften ueleceing lam, this potential enengy onvets into kine tic enengy and thay move away due to nepulsion ->Hone we can use both consenwohon of Linean momntum and cmsenvatan of energy to And each to ind mcoximum speed ay Tnital lincon momentum of system Final mamentum. if v, V avue theist spreds ' indicates the electaơns move in opposite disechons. rnengy) mizm

3 1912 16 X1o 2xa1 2 E 10 18.2 21 2.24 χ 10 χ \'6x10 e 3 58 x10 tt enangy at is zeno, us here ere I cmsí deved potential ths enuqy is only kinetic and electnons moring usili moximum speads. at is zero,ω