A metal sphere hangs from a string and has 2 kg of mass. The sphere has a charge

Question

A metal sphere hangs from a string and has 2 kg of mass. The sphere has a charge of +6.1

A metal sphere hangs from a string and has 2 kg of mass. The sphere has a charge of +6.1 mu C. A uniform electric field is turned on and directed to the right. Which way does the sphere move? What is the electric force on the metal sphere if the magnitude of the electric field is 106 N/C? N When the sphere reaches equilibrium, what is the angle that the string makes with the vertical axis (assuming the same electric field as part (b))? degree

Explanation / Answer

a.)Since F=qE and q is +ve, sphere moves right

b.)F=6.1x10^-6*10^6=6.1 N

c.)Tcos(theta)=mg

Tsin(theta)=qE

So tan(theta)=qE/mg=6.1/(2*9.8)=0..311

So theta=17.29 degrees

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