Two insulating spheres have radii 0.300 cm and 0.500 cm, masses 0.250 kg and 0.7

Question

Two insulating spheres have radii 0.300 cm and 0.500 cm, masses 0.250 kg and 0.700 kg, and uniformly distributed charges of -2.00 mu C and 5.50 mu c. They are released from rest when their centers are separated by 1.00 m. How fast will each be moving when they collide? m/s (lighter sphere) m/s (heavier sphere) If the spheres were conductors, would the speeds be greater or less than those calculated in part (a)? : Assume a reference level of potential V = 0 at r = infinity) greater less than the same Explain your answer.

Explanation / Answer

(a) M1 =0.25 kg, m2 =0.7 kg, r =1m , q1 = 2 microcoloumbs, q2 =5.5 micro coloumbs, u =0,

k =9x10^9 NC^2/m^2

(a) F =kq1q2/r^2 = 9x109x 2x10-6x5.5x10-6/1

F =0.099 N

F =m1a1

a1 =F/m1 = 0.099/0.25 =0.396

v^2-u^2= 2as

v^2 =2x0.396x1 =0.792

v1 =0.89 m/s

F =m2a2

a1 =F/m2 = 0.099/0.7 =0.14

v^2-u^2= 2as

v^2 =2x0.396x1 =0.28

v2 =0.53 m/s

(b) greater value

if speheres are conducting spheres they are attracted with greater force.

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