
55Newtonian Mechanics
© 2010 Taylor & Francis Group, LLC
is a conservative force eld.
(b) Find the potential energy V.
(c) Find the work done in moving an object in this force eld from (1, –2, 1) to (3, 1, 4).
5. A particle of mass m moves along the x-axis under the inuence of a conservative force
eld having potential V(x). If the particle is located at positions x
1
and x
2
at respective times
t
1
and t
2
, prove that if E is the total energy,
tt m
x
EVx
x
x
21
2
1
2
−=
−
∫
/
d
.
6. A particle moves in a force eld given by
2
, where
is the position vector of the
particle. Show that the angular momentum of the particle is conserved.
7. A par