I need to find the electrostatic force & the number of elementary particles between two charged balloons held in the center of their strings (Think of an Isosceles Triangle).(adsbygoogle = window.adsbygoogle || []).push({});

1. The problem statement, all variables and given/known data

Mpurple(balloon) - .00354 kg

Mred - .00405 kg

Lpurple - .725 m

Lred - .68 m

θ = 16°

T = Tension

2. Relevant equations & The attempt at a solution

Fnet1 = Mpurple*g - Tcosθ = 0 T2 = (Mred*g)/cosθ

Tcosθ = Mpurple*g

T1 = (Mpurple*g)/cosθ

Fnetx = F-Tsinθ

Tsinθ = F

(M*g)/cosθ * sinθ = F

M*g*tanθ = (k*q²)/r²

M*g*tanθ = (k*q²)/(Lpurple*sinθ + Lred*sinθ)

(Lpurple*sinθ + Lred*sinθ)*( M*g*tanθ) = k*q²

q² = ((Lpurple*sinθ + Lred*sinθ)*( M*g*tanθ))/k

q = √(((Lpurple*sinθ + Lred*sinθ)*( M*g*tanθ))/k)

qPurple = √(((.725*sin16° + .68*sin16°)*( .00354*9.81*tan16°))/8.99x109)

qRed = √(((.725*sin16° + .68*sin16°)*( .00405*9.81*tan16°))/8.99x109)

Tpurple = (.00354 kg * 9.81m/s²)/cos16° = 0.036 N

Tred = (.00405 kg * 9.81m/s²)/cos16° = 0.041 N

qPurple = 6.54 x 10-7 C

qRed = 7.01 x 10-7 C

I don't know how I'd go about finding the Electrostatic force or the number of elementary particles. Any help is appreciated.

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# Electrostatic force and # of elementary particles

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