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The force on a particle of mass 2.0 kg varies with position according to F(x) =−3.0x^2 (x in meters, F(x) in newtons). The particle’s velocity at =2.0m is 5.0 m/s. Calculate the mechanical energy of the particle using (a) the origin as the reference point and (b) =4.0m as the reference point. (c) Find the particle’s velocity at =1.0m. Do this part of the problem for each reference point.



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