Gravitational Force and Potential Energy: A Comprehensive Guide with Examples

4. The gravitational force between you and the moon at its initial position (directly opposite of Earth from you) is

jpC4HcaD1GeESStxcZdY7uSjgH9yLOYEEa0sGIoS

where gif;base64,R0lGODlhGwAYAHcAMSH+GlNvZnR3Y

 is the mass of the moon, gif;base64,R0lGODlhHQAYAHcAMSH+GlNvZnR3Y

 is the distance between the moon and the Earth, and gif;base64,R0lGODlhFQAYAHcAMSH+GlNvZnR3Y

 is the radius of the Earth. At its final position (directly above you), the gravitational force between you and the moon is

gGJkhVQ1ph33zkLgFDipQlUOKZckjVROSJAdXglo

.

(a) The ratio of the moon’s gravitational pulls at the two different positions is

0wnRxYnV4XnMVwmoVllL+gXAzwhqewXdHlXddVfG

Therefore, the increase is 0.06898, or approximately, 6.9%.

(b) The change of the gravitational

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Fluid Mechanics: Buoyancy, Pressure, and Fluid Flow

5. Let the volume of the expanded air sacs be Va and that of the fish with its air sacs collapsed be V. Then

gif;base64,R0lGODlhDAATAHcAMSH+GlNvZnR3Y EBHT9ZyVCO8kybPEsFRElKimjFaq2E5Csx8UcnwT

where ρw is the density of the water. This implies

ρfishV = ρw(V + Va) or (V + Va)/V = 1.08/1.00,

which gives Va/(V + Va) = 0.074 = 7.4%.

7. (a) The pressure difference results in forces applied as shown in the figure. We consider a team of horses pulling to the right. To pull the sphere apart, the team must exert a force at least as great as the horizontal component of the total force determined

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Understanding Electrical Circuits, Resistance, and Ohm’s Law

Electric Circuits: Concepts and Applications

An electrical circuit is a group of elements connected to each other in which a transference and transformation energy process is created by the motion of electric charges.

An electrical circuit is formed by the following elements:

Elements of an Electrical Circuit

  • Loops: Closed trajectory in a circuit.
  • Net: Closed trajectory that does not have another closed trajectory inside.
  • Nodes: Connection between 2 or more electrical elements.
  • Branch: Any electrical element
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Understanding Electric Fields, Potential Energy, and Electric Potential

Electric Fields: Concepts and Characteristics

A field is generated by a physical magnitude if, at any moment, a value can be designated to that magnitude in all the region’s points where the field acts. The value of a scalar field depends on the point in space being considered, for example, the distribution of temperature in space. Meanwhile, a vector field associates a vector to each point in space with a magnitude, direction, and sense. An example of this is the gravitational force.

“An electric

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Modernism in Literature: A Rebellion Against Tradition

Modernism (1900-1930)

Rather than an artistic style, modernism was a rebellious state of mind that questioned all artistic, scientific, social, and moral conventions. Modernists questioned all accepted systems: political, social, and religious paradigms; the arts, especially the Academy.

Forces that Shaped Modernism:

  • Technology (invention of the motorcar and the aeroplane)
  • New philosophical and scientific paradigms (F.H. Bradley, Albert Einstein)
  • New psychological paradigms (Sigmund Freud, C.G. Jung,
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Exploring Themes in Edith Wharton’s ‘Summer’

Summer, by Edith Wharton
Summer is the most sensual novel that Wharton published, and it is one of the few Wharton fictions in which a love affair is acted out, rather than being denied or deferred.
Setting: Set in a rural village, it is an intense and sensual evocation of the New England countryside in heat, rendered through the perceptions of a young woman close to nature: uneducated, inarticulate, speechless, throbbing with awakening eroticism.
Places:
(The Mountain, The Village, The City, The Library,

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