A block of mass 2 ~kg is initially at rest on a horizontal frictionless surface. A horizontal force F = (9-x^2 ) i newtons acts on it, when the block is at x=0 . The maximum kinetic energy of the block between x=0 and x=3 ~m in joule is

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Correct answer: C. 18

aligned & KE = F d x & aligned KE & = _ x=0 ^ x=3 (9-x^2 ) d x & =9 _ x=0 ^ x=3 d x- _ x=0 ^ x=3 x^2 d x & =9[x]₀^3- [ x^3 3 ]₀^3=27-9=18 ~J . aligned aligned

A block of mass 2 ~kg is initially at rest on a horizontal frictionless surface. A horizontal force F = (9-x^2 ) i newtons acts on it, when the block is at x=0 . The maximum kinetic energy of the block between x=0 and x=3 ~m in joule is

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