Two small metal spheres with masses 2.0 g and 4.0 g are tied together by a 4.6-c

Question

Two small metal spheres with masses 2.0 g and 4.0 g are tied together by a 4.6-cm-long massless string and are at rest on a frictionless surface. Each is charged to +1.7?C .

A) What is the energy of this system?

E0= _____________ J

B) What is the tension in the string?

T= ______________ N

C)

The string is cut. What is the speed of each sphere when they are far apart?
Hint: There are two conserved quantities. Make use of both.

Express your answers using two significant figures. Enter your answers numerically separated by a comma.

v1,v2 = ____________________ m/s

Explanation / Answer

nitial charge separation, r = 0.046m

Initial shared electrical PE (E) of the tied charges is given by ..

E = Potential created by either charge at distance r (V = kq/r)J/C, x other charge (q)
E[J] = kq /r [J/C] x q [C] .. .. E = kq

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