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

Damian Johns

18 June, 16:20

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?

+3

Answers (1)

Know the Answer?

Payton Love · 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)