Show that a force that does not work must be a velocity dependent force
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Force doesn't work . Means , work done = 0 by acting of force .
Let force is
, displacement due to force act on body is
.
So, W =
we also know,
⇒W =
, but dt ≠ 0
so,
,
It is possible only when Force is perpendicular upon velocity . hence, force is dependent upon velocity. If velocity change the direction then force should be change the direction in such a way that angle is maintained at 90° .
Let force is
So, W =
we also know,
⇒W =
so,
It is possible only when Force is perpendicular upon velocity . hence, force is dependent upon velocity. If velocity change the direction then force should be change the direction in such a way that angle is maintained at 90° .
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