Two point charges of mass m each are suspended in the gravitational field of the Earth by two non-conducting massless strings, each of length 1, attached to the same fixed point. The spheres are given equal charges of the same sign. As a result each string makes angle a to the vertical (see figure below). Write down an expression for the tension of a string T in terms of Coulomb force Fc between the charges and the angle a. Use the following notation (without the quotes): "/" for division, "*" for multiplication, "+" an "-" as usual. For powers used "^2", while for square root use "sqrt". To indicate that square root applies to the whole expression use brackets - for example, for √AB use sqrt(A*B). For Greek letters such as 7, a etc. use pi, alpha. For example to get √AB use 1/pi*A^2/B* sqrt(AB). Please use the exact variables given in the conditions of the problem: e.g if L is given, then do not use 1. For subscripts such as Fc simply write "FC" (without the quotes). Please use "Display response" button to check the you entered correct expression, before submitting your answer. 3 d A

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Chapter1: Units, Trigonometry. And Vectors
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Two point charges of mass m each are suspended in the gravitational field of the Earth by two non-conducting massless strings, each of length 1,
attached to the same fixed point. The spheres are given equal charges of the same sign. As a result each string makes angle a to the vertical (see
figure below). Write down an expression for the tension of a string Tin terms of Coulomb force Fc between the charges and the angle a.
Use the following notation (without the quotes): "/" for division, "*" for multiplication, "+" an "-" as usual. For powers used "^2", while for square root
use "sqrt". To indicate that square root applies to the whole expression use brackets - for example, for √AB use sqrt(A*B). For Greek letters such as ,
a etc. use pi, alpha. For example to get √AB use 1/pi*A^2/B*sqrt(AB). Please use the exact variables given in the conditions of the problem: e.g
1
if L is given, then do not use 1. For subscripts such as Fe simply write "FC" (without the quotes). Please use "Display response" button to check the
you entered correct expression, before submitting your answer.
T=
/ / / L
d
A
е
Can
Transcribed Image Text:Two point charges of mass m each are suspended in the gravitational field of the Earth by two non-conducting massless strings, each of length 1, attached to the same fixed point. The spheres are given equal charges of the same sign. As a result each string makes angle a to the vertical (see figure below). Write down an expression for the tension of a string Tin terms of Coulomb force Fc between the charges and the angle a. Use the following notation (without the quotes): "/" for division, "*" for multiplication, "+" an "-" as usual. For powers used "^2", while for square root use "sqrt". To indicate that square root applies to the whole expression use brackets - for example, for √AB use sqrt(A*B). For Greek letters such as , a etc. use pi, alpha. For example to get √AB use 1/pi*A^2/B*sqrt(AB). Please use the exact variables given in the conditions of the problem: e.g 1 if L is given, then do not use 1. For subscripts such as Fe simply write "FC" (without the quotes). Please use "Display response" button to check the you entered correct expression, before submitting your answer. T= / / / L d A е Can
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