Purchase Solution

gravitational self-energy of a uniform sphere

Not what you're looking for?

Ask Custom Question

** Please see the attached file for full problem statement **
Please show all work.

Show that the gravitational self-energy (energy of assembly piecewise from infinity) of a uniform sphere of mass M and radius R is:
U= -3/5 GM^2/R

Attachments
Purchase this Solution
Solution Summary

This solution shows how to calculate the gravitational self-energy of a uniform sphere in detail.

Purchase this Solution
Free BrainMass Quizzes
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.

Basic Physics

This quiz will test your knowledge about basic Physics.

Intro to the Physics Waves

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

Classical Mechanics

This quiz is designed to test and improve your knowledge on Classical Mechanics.

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.

View More Free Quizzes
Related BrainMass Solutions

  • Calculate kinetic energy in separation between two uniform spheres during gravitation.

    Approximate their initial speed as zero and take the initial gravitational potential energy of two-sphere system as Ui. When the separation between the two spheres is half the initial separation, what is the kinetic energy of each sphere?

  • Gravity: Magnitude of force, shortest period of rotation, altitude of satellite orbit, maximum height reached by a rocket

    In the picture two spheres of mass m and a third sphere of mass M form an equilateral triangle and a fourth sphere of mass m 4 is at the center of the triangle. The net gravitational force on that central sphere from the three other spheres is zero.

  • Time period of particle in a hole along diameter of earth.

    a) Considering earth as a uniform sphere of radius R and mass M, we will find gravitational potential at point P distance x from its center.

  • Magnitude of Gravitational Froce

    253839 Magnitude of Gravitational Froce A 509 kg uniform solid sphere has a radius of 0.409 m.

  • Force

    In the figure what is the direction of the net gravitational force exerted on the 0.100-kg uniform sphere by the other two uniform spheres?

  • Work and energy

    (b) Show that, if we choose axes with y measured vertically up, the gravitational potential energy is U = mgy (if we choose U = 0 at the origin). 4) For a system of N particles subject to a uniform gravitational field g acting vertically down, prove

  • Viral theorem for the age of a star of constant luminosity

    The gravitational energy of a homogeneous sphere is V = -3GM^2/(5R) I assume you can find this formula in your books or lecture notes or derive yourself. If not, you should post a separate posting for some OTA to explain its derivation for you.

  • Frictionless Train Through the Earth

    If the earth is considered to be a uniform sphere of mass M, radius R, show that the gravitational potential energy of a mass m inside the earth a distance r from the center is U(r)=mg/2R(r^2-3R^2) where g = GM/R^2 = 9.81 m/s^2.

  • Rotational Inertia Problem

    A uniform solid sphere of mass 5 kg and radius of 30 cm is rotating about an axis through its center at a rate of 180 rev/min. Find the kinetic energy of the sphere. The rotational inertia of the sphere is 2/d MR^2.

View More Related Solutions