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A body of mas 5 kg is placed at origin. A force starts acting on the body given by `vecF=(2+3x)hati` where x is the distance of body from origin in meters. Find the speed acquired by the body as it passes through `x=5m.` |
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Answer» Here the only force acting is `vecF=(2+3x)hati.` So body starts moving along x-axis. By applying work-energy principle. `W=intvecF.vec(dx)=DeltaK` `impliesunderset(0)overset(5)int[(2+3xx)hati].(dxhati)=1/2xx5v^(2)-0` `impliesunderset(0)overset(5)int(2+3x)dx=5/2v^(2)` `implies[2x+(3x^(2))/(2)]_(0)^(5)=5/2v^(2)` `implies[10+75/2]-[0]=5/2v^(2)` `impliesv=sqrt(19)m//s` |
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