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

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To find the work of gravity, the correct approach involves using the component of weight acting parallel to the slope, which requires using the sine function rather than cosine. The calculations should focus on the vertical displacement and the angle of the slope. The initial attempts using cosine led to incorrect results, indicating a misunderstanding of the angle's application in the context of work done against gravity. Adjusting the calculations to incorporate the sine function should yield the correct answer. Understanding the relationship between force, distance, and angle is crucial for solving this physics problem accurately.
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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
 
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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.
 
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Conversely, you want the upward component of displacement-
sin(\theta), not cos(\theta). It's the same as cristo's point.
 
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