As a ball falls under the influence of gravity, does gravity do positive work or negative work? Provide a mathematical explanation. 4. Set up the preceding problem starting from the definition of work as a path integral (with two vectors under the integral with a dot product), and evaluate it showing all steps. Assume the box falls from height h; to hf where hi > hf.

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Chapter1: Units, Trigonometry. And Vectors
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As a ball falls under the influence of gravity, does gravity do positive work or negative work? Provide a
mathematical explanation.
4. Set up the preceding problem starting from the definition of work as a path integral (with two vectors under
the integral with a dot product), and evaluate it showing all steps. Assume the box falls from height h; to hf
where hi > hf.
Transcribed Image Text:As a ball falls under the influence of gravity, does gravity do positive work or negative work? Provide a mathematical explanation. 4. Set up the preceding problem starting from the definition of work as a path integral (with two vectors under the integral with a dot product), and evaluate it showing all steps. Assume the box falls from height h; to hf where hi > hf.
W = -mgAy where Ay is negative.
Transcribed Image Text:W = -mgAy where Ay is negative.
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