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Areal Velocity and Time Averages

Question: Show that the areal velocity is constant for a particle moving under the influence of an attractive force given by F(r) = -kr. Calculate the time averages of the kinetic and potential energies and compare the results of the viral theorem.

Solution Preview

Areal velocity w = (r * V)/2

Where * denotes the vector product, r is the position of the particle and V its velocity.

Solution Summary

This solution provides step by step calculations for time averages of kinetic and potential energies.