How much work does this force do as the particle moves along the x-axis from x = 0 to x = l? express your answer in terms of the variables f0 and l?

Question

Physics

Ana Coleman

30 December, 00:45

How much work does this force do as the particle moves along the x-axis from x = 0 to x = l? express your answer in terms of the variables f0 and l?

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Answers (1)

Know the Answer?

Finley Spears · Answer 1

Answer;

= F0 L (1 - 1/e)

Explanation;

Work done is given as the product of force and distance.

In this case;

Work done = ∫︎ F (x) dx

= F0 ∫︎ e^ (-x/L) dx

= F0 [ - L e^ (-x/L) ] between 0 and L

= F0 L (1 - 1/e)