A particle of mass m moves on a straight line with its velocity varying with the distance travelled according to the equation `v=asqrtx`, wher ea is a constant. Find the total work done by all the forces during a displacement from `x=0 to x=d`.

Explanation

Work done by all forces, `W=DeltaKE=(1)/(2)mv_(2)^(2)-(1)/(2)mv_(1)^(2)`
Here,`v_(1)=asqrt0=0, v_(2)=asqrtd`,
so, `W=(1)/(2)ma^(2)d-0=(1)/(2)ma^(2)d`