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A small sphere of charge q = +66 C and mass m = 5.0 g is attached to a light str

ID: 1591014 • Letter: A

Question

A small sphere of charge q = +66 C and mass m = 5.0 g is attached to a light string and placed in a uniform electric field

that makes an angle = 38° with the horizontal. The opposite end of the string is attached to a wall and the sphere is in static equilibrium when the string is horizontal as in the figure shown below.

(a) Construct a free body diagram for the sphere. (Submit a file with a maximum size of 1 MB.)
1

This answer has not been graded yet.



(b) Find the magnitude of the electric field.
2 N/C

(c) Find the tension in the string. (Enter the magnitude of the tension in the string.)
3 N

Explanation / Answer

part b )

F = qE

Fsin38 = mg

F = 0.0795 N

E = F/q

E = 1.205 x 10^3 N/C

part c )

T = F*cos38

T = 0.0627 N

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