Work Done By A Nonconstant Force - Revision history

MillerL: /* Work Done By A Nonconstant Force */

2025-12-01T00:54:06Z

Work Done By A Nonconstant Force

← Older revision		Revision as of 20:54, 30 November 2025
Line 1:		Line 1:
	= Work Done By A Nonconstant Force =		= Work Done By A Nonconstant Force =
	'''Claimed by ~~Matt McCrory~~ – ~~Spring~~ 2025'''		'''Claimed by Miller Lindsley – Fall 2025'''

	This page explains how to calculate work done when the force applied is not constant. It includes conceptual explanations, worked examples, mathematical and computational models, and embedded simulations to make this concept easier to understand.		This page explains how to calculate work done when the force applied is not constant. It includes conceptual explanations, worked examples, mathematical and computational models, and embedded simulations to make this concept easier to understand.

2025-11-29T22:46:01Z

2025-11-29T22:43:28Z

Connectedness

← Older revision		Revision as of 18:43, 29 November 2025
Line 89:		Line 89:
	* '''Space physics''': Rockets and satellites feel variable gravity		* '''Space physics''': Rockets and satellites feel variable gravity

			An interesting industrial example of work done by a non-constant force is the operation of a car engine. The torque produced by an internal-combustion engine is not constant, it depends on the engine speed (RPM). As the RPM changes, the engine’s torque follows a characteristic “torque curve,” rising to a peak and then decreasing. Because the driving force on the wheels is proportional to engine torque, the force applied to the car varies continuously, making it a real-world industrial example of work done by a non-constant force.

	== History ==		== History ==

2025-11-29T22:30:54Z

Middling

← Older revision		Revision as of 18:30, 29 November 2025
Line 65:		Line 65:
	'''Question:'''		'''Question:'''
	A spring with <math>k = 70 \, N/m</math> is stretched 10 cm.		A spring with <math>k = 70 \, N/m</math> is stretched 10 cm.
	[[File:~~Middle1~~.~~JPG\|thumb~~\|center~~\|200px~~\|Spring stretching setup]]		[[File:NonSpring.jpg\|center\|Spring stretching setup]]

	'''Solution:'''		'''Solution:'''

2025-11-29T22:16:20Z

Simple

← Older revision		Revision as of 18:16, 29 November 2025
Line 57:		Line 57:
	=== Simple ===		=== Simple ===
	'''Question:'''		'''Question:'''
	A box ~~is pushed 10 m east by a 40 N force, then 8 m north by a 60 N force~~.		A person pushes a box and slowly loses strength after ten seconds. It can be described using this formula: F(x) = 20 - 2x. How much work was applied to the box?
	'''Solution:'''		'''Solution:'''
	: <math>W = 40 \cdot 10 ~~+ 60~~ \cdot 8 = ~~880~~ \, J</math>		: <math>W = 1/2 \cdot 10 \cdot 20 = 100 \, J</math>
			[[File:NonWork.jpg\|center\|Example Graphic]]

	=== Middling ===		=== Middling ===

2025-11-29T21:41:40Z

Computational Model

← Older revision		Revision as of 17:41, 29 November 2025
Line 39:		Line 39:
	#initialize conditions		#initialize conditions
	L = ball.pos - spring.pos		L = ball.pos - spring.pos

	Lhat = norm(L)		Lhat = norm(L)

	s = mag(L) - L0		s = mag(L) - L0

	Fspring = -(ks * s) * Lhat		Fspring = -(ks * s) * Lhat

Line 46:		Line 49:
	ball.p = ball.p + (Fspring + Fgravity) * deltat		ball.p = ball.p + (Fspring + Fgravity) * deltat
	</syntaxhighlight>		</syntaxhighlight>


	== Interactive Model ==		== Interactive Model ==

2025-11-29T18:07:59Z

← Older revision		Revision as of 14:07, 29 November 2025
Line 1:		Line 1:
	~~'''Heritage Jinadu F'24'''~~
	= Work Done By A Nonconstant Force =		= Work Done By A Nonconstant Force =
	'''Claimed by Matt McCrory – Spring 2025'''		'''Claimed by Matt McCrory – Spring 2025'''

2025-11-29T18:07:18Z

← Older revision		Revision as of 14:07, 29 November 2025
Line 1:		Line 1:
			'''Heritage Jinadu F'24'''
	= Work Done By A Nonconstant Force =		= Work Done By A Nonconstant Force =
	'''Claimed by Matt McCrory – Spring 2025'''		'''Claimed by Matt McCrory – Spring 2025'''

2025-04-23T02:24:21Z

Edited page to better explain and depict non-constant forces - added images, articles, simulations, and more concise explanations.

2019-08-18T23:23:47Z

Simple

← Older revision		Revision as of 19:23, 18 August 2019
Line 91:		Line 91:
	A box is pushed to the East 10 meters by a force of 40 N, then it is pushed to the north 8 meters by a force of 60 N.		A box is pushed to the East 10 meters by a force of 40 N, then it is pushed to the north 8 meters by a force of 60 N.
	Calculate the total work done on the box.		Calculate the total work done on the box.

	~~[[File:Simple1.JPG]]~~


	'''Solution'''		'''Solution'''

← Older revision		Revision as of 18:46, 29 November 2025
Line 105:		Line 105:
	=== Simulations ===		=== Simulations ===
	* [https://trinket.io/glowscript/49f7c0f35f Spring-Mass Trinket Model]		* [https://trinket.io/glowscript/49f7c0f35f Spring-Mass Trinket Model]

			=== Refrences ===
			* [https://ateupwithmotor.com/terms-technology-definitions/horsepower-vs-torque/\ Torque Curve Refrence]