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

Question

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 (A)  (3/2) fo a (B)  (1/2) fo a (C) foa (D) Zero

Tardigrade Admin · Accepted Answer

W = ∫03aFdx = |(fox2/2a)-fox| 3ao = (3foa/2)

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 $x = 0 t o x = 3 a$

$\frac{3}{2} f_{o} a$

$\frac{1}{2} f_{o} a$

$f_{o} a$

Zero

$W = \int_{0}^{3 a} F d x = ∣ ∣ \frac{f _{o x^{2}}}{2 a} - f_{o} x ∣ ∣_{3 a}_{o}$ = $\frac{3 f _{o} a}{2}$

Q. The force exerted on an object is F=fo​(ax​−1) (where f0​ and a are constants). The work done in moving the object from x=0tox=3a

23​fo​a

21​fo​a

fo​a