*22.  An electrically neutral model airplane is flying in a horizontal circle on a 3.0-m guideline, which is nearly parallel to the ground. The line breaks when the kinetic energy of the plane is 50.0 J. Reconsider the same situation, except that now there is a point charge of +q on the plane and a point charge of -q at the other end of the guideline. In this case, the line breaks when the kinetic energy of the plane is 51.8 J. Find the magnitude of the charges.

 

Without charges we can sum the forces in the radial direction to discover the maximum tension force the guideline can tolerate.

 

Without Charges

 

Relating Kinetic energy

Or

So

 

Now add charges and we have an extra radial force.

 

 

Plug in for tension

Now solve for Q

 

 

 

 

 

 

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This page last updated on June 2, 2018