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Show that a force that does no work must be a velocity dependent force. |
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Answer» Solution :As work done by force is zero, `thereforedW=vecF*vec(DL)=0` `thereforevecF*(vec(dl))/(DT)*dt` `thereforevecF*(vecv*vec(dl))=0" "(becausevecv=vec(dl)/(dt))` `thereforevecF*vecv=0,dl NE0` `thereforeFvcostheta=0" "thereforetheta=90^(@)` If v changes direction then to make `theta=90`, F MUST charne ANGLE according to v. So, F is dependent on v to make work done zero. |
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