Calculating Tension and Electric Force in an Electricity Experiment

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SUMMARY

The discussion centers on calculating the tension in a string and the magnitude of the electric force acting on a charged plastic ball in an electricity experiment. The ball, weighing 1.30 g and suspended by a 54.0 cm string, is influenced by an electric force when a charged rod is brought near, causing the ball to swing at a 21.0-degree angle. The key calculations involve resolving the forces acting on the ball, including gravitational force and electric force, to determine both the tension in the string and the magnitude of the electric force vector.

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Homework Statement


In an electricity experiment, a 1.30 g plastic ball is suspended on a 54.0 cm long string and given an electric charge. A charged rod brought near the ball exerts a horizontal electrical force vector F elec on it, causing the ball to swing out to a 21.0 angle and remain there.

1.) What is the magnitude of vector F?
2.)What is the tension in the string?

Any help would be appreciated!

The Attempt at a Solution


I honestly have no idea how to start it. A step by step on how to solve it would be nice but any help is appreciated.
 
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Draw a picture, put the forces on and resolve.
 

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