Purchase Solution

Areal Velocity and Time Averages

Not what you're looking for?

Ask Custom Question

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.

Purchase this Solution
Solution Summary

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

Solution Preview

Areal velocity w = (r * V)/2

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

Purchase this Solution
Free BrainMass Quizzes
The Moon

Test your knowledge of moon phases and movement.

Introduction to Nanotechnology/Nanomaterials

This quiz is for any area of science. Test yourself to see what knowledge of nanotechnology you have. This content will also make you familiar with basic concepts of nanotechnology.

Intro to the Physics Waves

Some short-answer questions involving the basic vocabulary of string, sound, and water waves.

Basic Physics

This quiz will test your knowledge about basic Physics.

Variables in Science Experiments

How well do you understand variables? Test your knowledge of independent (manipulated), dependent (responding), and controlled variables with this 10 question quiz.

View More Free Quizzes
Related BrainMass Solutions

  • Astronomy in relation to Physics

    The constant angular momentum (law of conservation of angular momentum is applicable) of the planets in their orbits be always constant, which decides the speed of the planet in its orbit at different points (areal velocity = (1/2)*r*v = constant => Kepler's

  • Algebra: direct and inverse variations. Probability of event

    The formula we use is V+ Vo= 2h / t, where V= final velocity Vo= initial velocity = 0 t= time h= height= 1440 Plugging in the numbers, we'll get: V+0 =2*1440/10 V= 1440/5= 288ft/s 3.

  • Calculating car engine efficiency in gasoline burn

    Now we need to know the time, the car took to cover 42.9km Time = distance/velocity = 42.9/86.2 = 0.498hr = 0.498*60*60 = 1792.8 seconds So, the total work done (by engine) = 1792.8 seconds x 18575.4joule/second = 33301977.12 Joule However, to

  • Prove Functions and Sets

    1b. prove directly that f and f are non-negative measurable function on E with f(x) = f (x) - f (x). 2b. prove that = and that is measurable. 3b. if f is areal- valued function on [a, b] such that is measurable on [a, b] is f measurable

  • Mass Moment of Inertia and Translational Motion

    and answers.

  • Linear Regression Decision Model: Appraisers

    b.Estimate the parameters, and therefore the prediction equation, for Y = b0+ b1X1 + b2X2 For each additional areal foot , what is the change in heating cost?

  • Forecasting for Palmdale Human Service Agency

    , weighted moving averages, exponential smoothing, and time series regression.

  • Colville versus Kongakut Deltas

    While both do have distributaries associated with their mouths, it appears that the areal extent of the Colville is broader (as we might expect based on basin size). A brief comparison of two Alaskan river deltas is provided in the solution.

  • Forecast personnel expenses for year 20X5

    , weighted moving averages, exponential smoothing, and time series regression.

View More Related Solutions