ch07-p029 - 29. (a) As the body moves along the x axis from...

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29. (a) As the body moves along the x axis from x i = 3.0 m to x f = 4.0 m the work done by the force is 22 2 2 6 3( ) 3 (4.0 3.0 ) 21 J. ff ii xx xf i WF d x x d x == = = = ³³ According to the work-kinetic energy theorem, this gives the change in the kinetic energy: WKm v v fi Δ 1 2 di where v i is the initial velocity (at x i ) and v f is the final velocity (at x f ). The theorem yields ( 2 1 J ) (8.0 m/s) 6.6 m/s. 2.0 kg W vv m =+ = + = (b) The velocity of the particle is
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