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If the force acting on a body is inversely proportional to its speed, the kinetic energy of the body isA. constantB. directly proportional to timeC. inversely proportional to timeD. directly proportional to square of time |
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Answer» Correct Answer - B `F prop 1/v` `F=lambda/v`, where `lambda` : constant `ma= m (dv)/(dt)=lambda/v implies m int_(0)^(v) dv =lambda int_(0)^(t) dt` `m|v^(2)/2|_(0)^(v) =lambda |t|_(0)^(t) implies 1/2 mv^(2)=K=lambda t` `K prop t` |
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