A varying force is given by F=Ae ^-kx, where x is the position;A and I are constants that have units of N and m^-1 , respectivel

Question

BlackZzzverrR [31]

2 years ago

11

A varying force is given by F=Ae ^-kx, where x is the position;A and I are constants that have units of N and m^-1 , respectivel

y. What is the work done when x goes from 0.10 m to infinity?

Physics

1 answer:

Burka [1] · Answer 1 · 2022-04-08T05:25:57+03:00

Burka [1]2 years ago

4 0

W = ∫ (x from 0.1 to +oo) F dx

= ∫ (x from 0.1 to +oo) A e^(-kx) dx

= A/k x [ - e^(-kx) ](between 0.1 and +oo)

= A/k x [ 0 + e^(-k * 0.1) ]

<span> = A/k x e^(-k/10) </span>