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Physics
Physics
Problem
A particle moves along the
x
x
x
-axis under the force
F
(
x
)
=
−
(
4
x
−
3
x
2
)
N
F(x)=-(4x-3x^{2})\,\text{N}
F
(
x
)
=
−
(
4
x
−
3
x
2
)
N
, where
x
x
x
is in metres. (i) Show that this force is conservative. (ii) Taking
U
=
0
U=0
U
=
0
at
x
=
0
x=0
x
=
0
, obtain the expression for the corresponding potential energy
U
(
x
)
U(x)
U
(
x
)
.
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