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Physics
Physics
Problem
Which of the following expressions gives the work done by a particle moving from position
x
i
x_i
x
i
to
x
f
x_f
x
f
under a force
F
(
x
)
F(x)
F
(
x
)
acting along the
x
x
x
-axis? a)
1
2
[
F
(
x
i
)
+
F
(
x
f
)
]
(
x
f
−
x
i
)
\displaystyle\frac{1}{2}\left[ F(x_i)+F(x_f) \right] (x_f-x_i)
2
1
[
F
(
x
i
)
+
F
(
x
f
)
]
(
x
f
−
x
i
)
b)
∫
x
f
x
i
F
(
x
)
d
x
\displaystyle\int_{x_f}^{x_i} F(x)\,dx
∫
x
f
x
i
F
(
x
)
d
x
c)
∫
x
i
x
f
F
(
x
)
d
x
\displaystyle\int_{x_i}^{x_f} F(x)\,dx
∫
x
i
x
f
F
(
x
)
d
x
d)
F
(
x
i
)
(
x
f
−
x
i
)
F(x_i)\,(x_f-x_i)
F
(
x
i
)
(
x
f
−
x
i
)
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