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In the integration method for variable force, why do we divide displacement into tiny segments (ds)?

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Question

In the integration method for variable force, why do we divide displacement into tiny segments (ds)?

Options

  • Makes math easier

  • Finds average force

  • Force is nearly constant over small ds

  • Reduces total work

MCQ
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Solution

Force is nearly constant over small ds

Explanation:

Over an infinitely small segment ds, the changing force can be treated as constant, allowing us to calculate dW = F·ds.

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