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(Solved): Lagrangian of a particle is L=(1)/(2)mv^(2)-vec(a)*vec(v), where vec(a) is a constant vector. Which ...



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)


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