1. Tardigrade
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  3. Physics
  4. The force exerted on an object is F = fo ( (x/a)-1) (where f0 and a are constants). The work done in moving the object from x = 0 to x = 3a

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Q. The force exerted on an object is $F\, =\, f_o (\frac {x}{a}-1)$ (where $f_0$ and $a$ are constants). The work done in moving the object from $x\, =\, 0 \,to\, x\, =\, 3a$

Solution:

$W = \int_{0}^{3a}Fdx = \left|\frac{f_{ox^{2}}}{2a}-f_{o}x\right|_{ }^{3a}{_o}$ =$\frac {3f_oa}{2}$