# electrostatic force and spring constant related question

A small sphere with a charge of +2.53 mC is attached to a relaxed, horizontal spring whose force constant is 90.0 N/m. The spring extends along the x axis, and the sphere rests on a frictionless surface with its center at the origin. A point charge Q = -8.38 mC is now moved slowly from infinity to a point x = d > 0 on the x axis. This causes the small sphere to move to the position x = 0.120 m. Calculate d.

(in m)

Please solve and explain.

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MCAT Charge and spring

A small sphere with a charge of +2.53 mC is attached to a relaxed, horizontal spring whose force constant is 90.0 N/m. The spring extends along the x axis, and the sphere ...

#### Solution Summary

In this exercise, students are asked to find the distance between a charged sphere and a point charge, when the charged sphere is attached to a horizontal spring with the spring constant given. The force constant equation and the Coulomb's law are equated and the distance d is solved.