A charged cork ball of mass 1.68 g is suspended on a light string in the presenc

Question

A charged cork ball of mass 1.68 g is suspended on a light string in the presence of a uniform electric field, as shown in the figure.

When the electric field has an x component of 3.97E+5 N/C, and a y component of 4.66E+5 N/C, the ball is in equilibrium at ? = 35.4o. Calculate the charge on the ball.

Calculate the tension in the string.

A charged cork ball of mass 1.68 g is suspended on a light string in the presence of a uniform electric field, as shown in the figure. When the electric field has an x component of 3.97E+5 N/C, and a y component of 4.66E+5 N/C, the ball is in equilibrium at ? = 35.40. Calculate the charge on the ball. Calculate the tension in the string.

Explanation / Answer

Let the angle made by the string with the vertical be x.

Draw the free-body diagram of the ball.
mg acts downwards
Tension T acts along the string
Electrostatic force qE acts towards the right

Since the ball is in equilibrium, balance forces along the horizontal and vertical directions.

T cosx = mg
T sinx = qE

Divide:
tan35.4 = qE/mg

Substitute and solve for q :
q = 19.11 nC

T = mg/cosx = 0.02 N

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