A particle of mass m id driven by a machine that delivers a constant power k watts . If the particle starts from at rest the force on the particle at time t is :

A particle of mass m id driven by a machine that delivers a constant p

1.	A particle of mass m id driven by a machine that delivers a constant power k watts . If the particle starts from at rest the force on the particle at time t is :
Answer» `SQRT(mk)t^(-1/2)` `sqrt(2mk)t^(-1/2)` `1/2sqrt(mk)t^(-1/2)` `sqrt((mk)/2)t^(-1/2)` Solution :`P = FFv "Now ,F = ma"` `K = ma "" = m((2k)/m)^(1/2)XX1/2T^(-1/2)` `K = mv (dv)/(dt) "" = ((mk)/2)^(1/2).t^(-1/2)` `K/m .dt = vdv "" = sqrt((mk)/2).t^(1/2)` Integrating on both sides `int k/m dt = int vdv` `k/m t =(v^(2))/2 ` ` :. v = sqrt((2k)/mt)` `a = (dv)/(dt)=d/(dt)[((2k)/mt)^(1/2)]` `:. a =((2k)/m)^(1/2) xx1/ 2t^(-1/2)`