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
where
is the mass of the moon,
is the distance between the moon and the Earth, and
is the radius of the Earth. At its final position (directly above you), the gravitational force between you and the moon is
.
(a) The ratio of the moon’s gravitational pulls at the two different positions is
Therefore, the increase is 0.06898, or approximately, 6.9%.
(b) The change of the gravitational
Read MoreGravitational 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
where
is the mass of the moon,
is the distance between the moon and the Earth, and
is the radius of the Earth. At its final position (directly above you), the gravitational force between you and the moon is
.
(a) The ratio of the moon’s gravitational pulls at the two different positions is
Therefore, the increase is 0.06898, or approximately, 6.9%.
(b) The change of the gravitational
Read MoreFluid 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
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
Read MoreUnderstanding 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
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.
Read More“An electric
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,