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The block of mass `m` initially at `x=0` is acted upon by a horizontal force at any position `x` is given as `F =a-bx^(2)(` where `a gt mu mg)`, as shown in the figure. The co`-` efficient of friction between the surface of contact is `mu`. The net work done on the block is zero, if the block travels a distance of `......................` |
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Answer» Correct Answer - `x=[3(a-mu mg)//b]^(1//2)` `W_(f)+W_(F)=-mu mg x+underset(0)overset(x)int (a-bx^(2))dx` `=(-mu mg +a)x-(bx^(3))/(3)` `rArr x=sqrt((3(a-mu mg))/(b))` |
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