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The block of mass \( m \) initially at \( x=0 \) is acted upon by a horizontal force \( F=a-b x^{2} \) (where \( a\mu m g \) ), as shown in the figure. The co-efficient of friction between the surfaces of contact is \( \mu \). The net work done on the block is zero, if the block travels a distance of
(1) \( x=\sqrt{\frac{3(a-\mu m g)}{b}} \)
(2) \( x=\sqrt{\frac{3(a+\mu m g)}{b}} \)
(3) \( x=\sqrt{\frac{2(a-\mu m g)}{b}} \)
(4) \( x=\sqrt{\frac{2(a+\mu m g)}{b}} \)
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