Tidal Force Cube Law
Tidal Force Cube Law - Related Videos
01:06
Tidal Forces
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2023
The origin of Earth's ocean tides has been a subject of continuous investigation for over 2000 years. However, the work of Newton is considered to be the beginning of the proper understanding of the phenomenon. Ocean tides are the result of gravitational tidal forces. These same tidal forces are present in any astronomical body; they are responsible for the internal heat that creates the volcanic activity on Io, one of Jupiter's moons, and the breakup of stars that get too close to black holes.
01:10
Second Law: Motion under Same Force
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2023
Newton's laws can be applied to bodies at rest and bodies in motion. Newton's first law is applied to bodies in equilibrium, whereas the second law applies to accelerating bodies. To study accelerating bodies, first, the directions and magnitudes of acceleration and the applied forces are determined. Then, the free-body diagram is constructed, and Newton's second law is applied, considering the components of the forces in the x and y directions. Let's imagine a person is standing on a weighing...
02:49
Second Law of Thermodynamics
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2020
In the quest to identify a property that may reliably predict the spontaneity of a process, a promising candidate has been identified: entropy. Processes that involve an increase in entropy of the system (ΔS > 0) are very often spontaneous; however, examples to the contrary are plentiful. By expanding consideration of entropy changes to include the surroundings, a significant conclusion regarding the relation between this property and spontaneity may be reached. In thermodynamic models, the...
10:12
Newton's Laws of Motion
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2023
Source: Andrew Duffy, PhD, Department of Physics, Boston University, Boston, MA This experiment examines at various situations involving two interacting objects. First, the experiment examines the forces that two objects apply to one another while they collide. The objects are wheeled carts that have variable masses. The purpose of this experiment is to discover when the force the first cart exerts on the other is the same magnitude as the force the second cart exerts back on the first, as well...
08:00
Force and Acceleration
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2023
Source: Nicholas Timmons, Asantha Cooray, PhD, Department of Physics & Astronomy, School of Physical Sciences, University of California, Irvine, CA The goal of this experiment is to understand the components of force and their relation to motion through the use of Newton's second law by measuring the acceleration of a glider being acted upon by a force. Nearly every aspect of motion in everyday life can be described using Isaac Newton's three laws of motion. They describe how objects in...
FAQs
The cube-law behavior emerges when the gravitational attraction is compared at two locations separated across an extended body. The near side experiences slightly stronger inverse-square attraction than the far side. For a body whose size is small relative to its distance from the source, that difference is approximately proportional to the body’s size divided by the distance cubed.
Ordinary gravitational attraction can act nearly uniformly across a small body, while tidal force results from the change in attraction from one side to the other. That spatial difference can pull different regions with unequal strength, producing deformation or internal stress. The effect becomes more important when the body is large compared with its distance from the source.
Three quantities are central: the source mass, the distance to that source, and the size of the affected body. A more massive source strengthens the gravitational difference, whereas increasing distance reduces it very rapidly through the cube-law dependence. A larger body spans a greater range of gravitational attraction, increasing the force difference across it.
Begin by identifying the source mass, the distance r to the body, and the body’s characteristic size. Treat the ordinary gravitational attraction as varying with inverse-square distance, then compare the attraction at the near and far sides. For a relatively small body, the resulting difference scales approximately with size divided by r³, providing an estimate of tidal strength.
Ocean tides arise because different parts of an extended body, such as an ocean-bearing planet, experience slightly different gravitational attractions from a nearby massive object. The same differential force can deform bodies in orbit, rather than moving every part identically. Thus, the cube-law scaling connects local gravitational variation with large-scale changes in shape and stress.
The rapid distance dependence makes tidal effects increasingly significant as an object approaches a massive source. This provides physical context for tidal locking, the Roche limit, and the stretching of matter near black holes. In each case, the relevant issue is not simply the total gravitational pull, but how sharply that pull changes across the object’s dimensions.