Lagrangian of a particle is
L=(1)/(2)mv^(2)-vec(a)*vec(v)
, where
vec(a)
is a constant vector. Which of the tbllowing is conserved (a)
mvec(v)
only (b)
mvec(v)
and
(1)/(2)mv^(2)
(c)
(1)/(2)mv^(2)
only (d) none of
mvec(v)
and
(1)/(2)mv^(2)
In the previous question if
vec(a)
is a variable vector, that is, it depends on
x,y,z
then (a)
mvec(v)
only (b)
mvec(v)
and
(1)/(2)mv^(2)
(c)
(1)/(2)mv^(2)
only (d) none of
mvec(v)
and
(1)/(2)mv^(2)