Solving for Work of Gravity in Physics: KE, W, PE at UW-Madison

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SUMMARY

The discussion focuses on calculating the work of gravity in a physics problem involving a slope at the University of Wisconsin-Madison. The user initially attempted to calculate work using the formula mass * gravity * cos(22°) * distance(12) and later mass * gravity * distance(12), yielding incorrect results of 436.14 and 470.4, respectively. The correct approach involves using the sine function for the angle to find the component of weight acting parallel to the slope, specifically mass * gravity * sin(22°) * distance(12). This adjustment is crucial for accurate calculations of work done against gravity.

PREREQUISITES
  • Understanding of basic physics concepts such as work, kinetic energy (KE), and potential energy (PE).
  • Familiarity with trigonometric functions, specifically sine and cosine.
  • Knowledge of gravitational force and its calculation (mass * gravity).
  • Ability to interpret and analyze physics problems involving slopes and angles.
NEXT STEPS
  • Study the application of trigonometric functions in physics problems, focusing on slopes and angles.
  • Learn about the work-energy principle and its implications in various physics scenarios.
  • Explore examples of calculating work done by gravity in different contexts, including inclined planes.
  • Review the concepts of kinetic energy (KE) and potential energy (PE) to understand their relationship with work.
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone seeking to deepen their understanding of work calculations involving gravitational forces, particularly in inclined plane scenarios.

cyberdx16
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https://mywebspace.wisc.edu/dxiong4/physics%201.bmp?uniq=-w1zg99

for part b i am to find work of gravity, and to do so what i did was

mass*gravity*cos 22*distance(12) to get 436.14, but it seems that it is wrong

i've tried mass*gravity*distance (12)=470.4 and still is not the correct answer, can someone please explain to me what i am doing wrong? thx
 
Last edited by a moderator:
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cyberdx16 said:
https://mywebspace.wisc.edu/dxiong4/physics%201.bmp?uniq=-w1zg99

for part b i am to find work of gravity, and to do so what i did was

mass*gravity*cos 22[/color]*distance(12) to get 436.14, but it seems that it is wrong

i've tried mass*gravity*distance (12)=470.4 and still is not the correct answer, can someone please explain to me what i am doing wrong? thx

Check the red part; you want the component of the weight acting parallel to the slope.
 
Last edited by a moderator:
Conversely, you want the upward component of displacement-
[itex]sin(\theta)[/itex], not [itex]cos(\theta)[/itex]. It's the same as cristo's point.
 

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