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Two small metallic spheres, each of mass m=0.2g, are suspended as pendulums by l

ID: 1705922 • Letter: T

Question

Two small metallic spheres, each of mass m=0.2g, are suspended as pendulums by light strings of length L as shown in figure. The spheres are given the same electric charge of 7.2nC, and they come to equilibrium when each string is at an angle of =5 degrees with the vertical. How long are the strings?

Two small metallic spheres, each of mass m=0.2g, are suspended as pendulums by light strings of length L as shown in figure. The spheres are given the same electric charge of 7.2nC, and they come to equilibrium when each string is at an angle of ?=5 degrees with the vertical. How long are the strings?

Explanation / Answer

the distance between. d=2*L*sin5=0.174L. electric force. F=k*q^2/d^2 we have that F/mg=tan5 so F=mg*tan5=0.0874mg=kq^2/0.0303L^2 so L^2=kq^2/2.65e-3mg L=sqrt(0.09)=0.3(m)

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