Weight - Revision history

Pagrawal99 at 22:10, 2 December 2024

2024-12-02T22:10:38Z

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-===Practical Scenarios===
+==Practical Scenarios==
-Weight can be used to assess load capacities in engineering or to measure forces in scientific experiments. This knowledge is crucial in designing structures, vehicles, and materials for various gravitational environments.
+Weight is crucial in assessing load capacities and measuring forces for various applications in engineering, science, and everyday use.
 ==Example==

Pagrawal99 at 22:06, 2 December 2024

2024-12-02T22:06:48Z

← Older revision		Revision as of 18:06, 2 December 2024
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	Most problems involving weight calculation are simple; complex problems usually involve gravitational force in diverse contexts such as orbital mechanics or planetary exploration.		Most problems involving weight calculation are simple; complex problems usually involve gravitational force in diverse contexts such as orbital mechanics or planetary exploration.

	===Simple=== ''Determine the weight in Newtons of a 75-kilogram astronaut on the surface of the Moon, given the gravitational acceleration'' <math>{g}_{Moon} = 1.62\frac{m}{{s}^{2}}</math>''.''		===Simple===
			''Determine the weight in Newtons of a 75-kilogram astronaut on the surface of the Moon, given the gravitational acceleration'' <math>{g}_{Moon} = 1.62\frac{m}{{s}^{2}}</math>''.''

	::<math> \left\vert{\vec{W}}\right\vert = m{g}_{Moon} </math>		::<math> \left\vert{\vec{W}}\right\vert = m{g}_{Moon} </math>
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	::<math> \left\vert{\vec{W}}\right\vert = 121.5 N </math>		::<math> \left\vert{\vec{W}}\right\vert = 121.5 N </math>

	==Advanced== ''Calculate the weight of a 10,000 kg satellite in low Earth orbit, where the effective gravitational acceleration is <math>{g}_{orbit} = 8.7\frac{m}{{s}^{2}}</math>.''		===Advanced===
			''Calculate the weight of a 10,000 kg satellite in low Earth orbit, where the effective gravitational acceleration is <math>{g}_{orbit} = 8.7\frac{m}{{s}^{2}}</math>.''

	::<math> \left\vert{\vec{W}}\right\vert = m{g}_{orbit} </math>		::<math> \left\vert{\vec{W}}\right\vert = m{g}_{orbit} </math>

Pagrawal99 at 22:01, 2 December 2024

2024-12-02T22:01:47Z

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 ==The Main Idea==
-'''In physics, weight describes the [[Gravitational Force]] upon a mass, usually relative to Earth or a planet.''' Depending on the textbook, weight may be defined as a scalar - the magnitude of the gravitational force on an object - or a vector equal to gravitational force.
+In physics, weight describes the gravitational force exerted on a mass, typically relative to Earth or another celestial body. Weight can either be defined as a scalar—representing only the magnitude of the gravitational force—or as a vector, accounting for both magnitude and direction, as it always points toward the center of the gravitational field.
-An object's weight is commonly confused with its mass, but instead, it is a force that depends on another body of matter, while mass is an intrinsic property that measures the amount of matter within an object.
+An object's weight is frequently misunderstood as its mass, but the two are fundamentally different. While mass is an intrinsic property of matter, representing the amount of substance within an object and remaining constant regardless of location, weight is a force that arises from the interaction between mass and a gravitational field. Weight depends not only on the object's mass but also on the gravitational strength of the body exerting the force.
-Weight varies depending on the strength of the gravitational field in which an object is located. For example, the same object will weigh less on the Moon than on Earth due to the Moon's weaker gravitational pull.
+For instance, on Earth, the weight of an object is determined by multiplying its mass by Earth's gravitational acceleration, approximately 9.8 m/s². On the Moon, where gravitational acceleration is only about 1.63 m/s², the same object will weigh significantly less. Similarly, in deep space, far from any major celestial bodies, an object could effectively become weightless, though its mass remains unchanged.
 ===A Mathematical Model===
-A mass ''m'''s weight near the surface of the Earth is represented by <math>{\vec{W} = \vec{F}_{g} = {m}\vec{g}}</math> where ''g'' is the gravitational acceleration of Earth, <math>{{<0,-9.8,0>} \frac{m}{{s}^{2}}}</math>.
+A mass ''m'''s weight near the surface of the Earth is represented by <math>{\vec{W} = \vec{F}_{g} = {m}\vec{g}}</math>, where ''g'' is the gravitational acceleration of Earth, approximately <math>{{<0,-9.8,0>} \frac{m}{{s}^{2}}}</math>.
-Scalar weight would simply be the magnitude of the gravitational force, <math>{\left\vert{\vec{W}}\right\vert = \left\vert{\vec{F}_{g}}\right\vert}</math>, and it can be simplified to <math>{\left\vert{\vec{W}}\right\vert = mg}</math>.
+Scalar weight represents only the magnitude of the gravitational force, expressed as:
-In other gravitational environments, the weight can be determined using the local gravitational acceleration:
+Weight in Different Gravitational Environments
 <math>{\vec{W} = m\vec{g}{local}}</math>,
-where <math>\vec{g}{local}</math> varies depending on the planet, moon, or other celestial body.
+where <math>\vec{g}{local}</math> is specific to the celestial body in question. For example:
 ===A Computational Model===

Pagrawal99 at 21:57, 2 December 2024

2024-12-02T21:57:47Z

← Older revision		Revision as of 17:57, 2 December 2024
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	print("Force of gravity exerted on the ball:", W, "kg m/s^2 or N")		print("Force of gravity exerted on the ball:", W, "kg m/s^2 or N")
	</code>		</code>

			[[File:Weightcode.JPG\|400px\|thumb\|right]]
	===Code Extensions===		===Code Extensions===

Pagrawal99 at 21:53, 2 December 2024

2024-12-02T21:53:12Z

← Older revision		Revision as of 17:53, 2 December 2024
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	''Prabhav Agrawal Fall 2024''		'''Prabhav Agrawal Fall 2024'''

	==The Main Idea==		==The Main Idea==

Pagrawal99 at 21:53, 2 December 2024

2024-12-02T21:53:00Z

← Older revision		Revision as of 17:53, 2 December 2024
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	print("Scalar weight of the ball on Mars:", mag(W_mars), "N")		print("Scalar weight of the ball on Mars:", mag(W_mars), "N")
	</code>		</code>
	~~[[File:Weightcode2.png\|400px\|thumb\|right]]~~

	===Practical Scenarios===		===Practical Scenarios===

Pagrawal99 at 21:51, 2 December 2024

2024-12-02T21:51:13Z

← Older revision		Revision as of 17:51, 2 December 2024
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	print("Scalar weight of the ball on Mars:", mag(W_mars), "N")		print("Scalar weight of the ball on Mars:", mag(W_mars), "N")
	</code>		</code>
	[[File:Weightcode2.~~JPG~~\|400px\|thumb\|right]]		[[File:Weightcode2.png\|400px\|thumb\|right]]

	===Practical Scenarios===		===Practical Scenarios===

Pagrawal99 at 21:47, 2 December 2024

2024-12-02T21:47:51Z

Show changes

Catherine: /* A Computational Model */

2017-03-08T21:23:03Z

A Computational Model

← Older revision		Revision as of 17:23, 8 March 2017
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	A simple segment of code that calculates the both scalar and vector weight (gravitational force) exerted upon a ball.		A simple segment of code that calculates the both scalar and vector weight (gravitational force) exerted upon a ball.

	~~[[File:Weightcode.JPG\|400px\|thumb\|right]]~~

	<code>		<code>
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	</code>		</code>

			[[File:Weightcode.JPG\|400px\|thumb\|right]]

	==Example==		==Example==

Mxu86: /* The Main Idea */

2015-12-01T05:21:03Z

The Main Idea

← Older revision		Revision as of 01:21, 1 December 2015
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	'''In physics, weight describes the [[Gravitational Force]] upon a mass, usually relative to Earth or a planet.''' Depending on the textbook, weight may be defined as a scalar - the magnitude of the gravitational force on an object - or a vector equal to gravitational force.		'''In physics, weight describes the [[Gravitational Force]] upon a mass, usually relative to Earth or a planet.''' Depending on the textbook, weight may be defined as a scalar - the magnitude of the gravitational force on an object - or a vector equal to gravitational force.

	An object's weight is commonly confused with mass, but instead it is a force that depends on another body of matter, while mass is an intrinsic property that measures the amount of matter within an object.		An object's weight is commonly confused with its mass, but instead it is a force that depends on another body of matter, while mass is an intrinsic property that measures the amount of matter within an object.

	===A Mathematical Model===		===A Mathematical Model===