Problem 10: Consider the arrangement of three small charged spheres, each of mass 7 g, hown in the figure. The spheres have equal charges of 75 nC and are positioned on the vertices of an equilateral triangle, with side length 33 cm. a a a If these spheres are released at precisely the same time, how fast, in meters per second, will they be moving when they are infinitely far away form each other? %3=

Problem 10: Consider the arrangement of three small charged spheres, each of mass 7 g, hown in the figure. The spheres have equal charges of 75 nC and are positioned on the vertices of an equilateral triangle, with side length 33 cm. a a a If these spheres are released at precisely the same time, how fast, in meters per second, will they be moving when they are infinitely far away form each other? %3=

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Problem 10: Consider the arrangement of three small charged spheres, each of mass 7 g,
shown in the figure. The spheres have equal charges of 75 nC and are positioned on the vertices of an
equilateral triangle, with side length 33 cm.
a
a
a
b.
If these spheres are released at precisely the same time, how fast, in meters per second, will they be moving when they are infinitely far away form each
other?

Expert Solution

Step 1

Given, mass of each sphere placed at the vertices of an equilateral triangle =7 kg

The sphere has equal charges of 75 $μ C$

a=33 cm= 0.33m

$f r o m c o n s e r v a t i o n o f e n e r g y w e h a v e, e l e c t r o s t a t i c p o t e n t i a l = K i n e t i c e n e r g y 3 \times \frac{k q^{2}}{r} = 3 \times \frac{1}{2} m v^{2} \frac{9 \times 10^{9} \times {(75 \times 10^{- 9})}^{2}}{0.33} = \frac{1}{2} \times 7 \times 10^{- 3} \times v^{2} m^{2} / s^{2} v^{2} = 0.0438 v = 0.2093 m / s$

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