and uniformly distributed charges of-20 uca Two insulating spheres have radii 0.

Question

and uniformly distributed charges of-20 uca Two insulating spheres have radii 0.300 cm and 0.500 cm ma se O 500 kg an from rest when their centers are separated by 1.00 m. 700 g s. UC They are released (a) How fast will each be moving when they collide? (Hint: Consider conservation of energy and of linear momentum.) m/s (lighter sphere) m/s (heavier sphere) (b) If the spheres were conductors, would the speeds be greater or less than those calculated in part (a)? (Note: Assume a reference level of potential V - o at (b) If the spheres were conductors, would the speeds be greater or less than those calculated in part (a)? (Note: Assume a reference level of potential V = 0 at r = greater less than the same Explain your answer

Explanation / Answer

a] By energy conservation,

increase in KE = decrease in potential energy

0.5m1v1^2 + 0.5 m2v2^2 = kq1q2*[1/d1 - 1/d2]

0.5*0.5*v1^2 + 0.5*0.7*v2^2 = 9e9*-2e-6*3.5e-6/[1/1 - 1/(0.3e-2 + 0.5e-2)]

0.5*0.5*v1^2 + 0.5*0.7*v2^2 = 0.000508

also by momentum conservation, m1v1 + m2v2 = 0 or 0.5v1 = -0.7v2 or v1 = -1.4v2

putting this in first equation, 0.5*0.5*(-1.4 v2)^2 + 0.5*0.7*v2^2 = 0.000508

v2 = 0.0246 m/s [heavier] fill in second box

v1= 1.4*0.0246 = 0.0344 m/s [lighter] fill in first box

b] same as potential energy would have been same.

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