Question

In the figure, the black dots are four identical point charges, situated at the corners of a perfect square. The charges are 8 microCoulombs each and the square is 5 meters on a side. The green dots are the initial and final locations of another point charge, 30 microCoulombs, and mass 2 x 10-6 kg. The initial location is the bottom dot, halfway between the bottom two black dots. The final location is the top green dot, at the geometric center of the square. If the second charge is released from rest at the initial position, what will its speed be as it arrives at the final position?

Answer 1

SP Date / gillen d = sut 8 = 8x10 C 30x 10°C d Б d & b ale be A 8 q d pokutial at A UA = K 20 + q Q d/ d12 2 +90 -90 I 4 Now I dd2+ d2 drs 2 VA = K 1498 + 4 q8 d न 428 VA - 98 109 11 9x109 1 + 1 5 डाइ --12 VA 9 X 109 [rstl. 515 X 4X 8 X 30 X 10' 2500.79 x lo- 3 Volt = 2.500.79 volt

Date / Now ub= k qa ta a + 20 b tha kq 8 x 4 b Now 2b I d² +d2 b aud drz ab - ara $ 9x109 X 8 X 30 X 10 - 12 X 4 X 82 30547013 aachat x 10-3 molt 3.0 54 70 not Now لا work done q du = q (UB-VA) q (3,05470 - 2.50079) Joule

Date / insial velocity M=o allt final V csay) ДК- I muz 1 am mu 2 e I work A K = 5 Ел Коли mv²_0 1 or q (3.05420 - 2.50079 2 Imuz 4x2x10-6x02 30 x 10 (0.55391) V 30 x (0 55391) 16.6173 4,08 mis