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378. assignment (force and motion)

A child pushes a wheelchair as shown below.  The floor exerts a forward force on the child Ffloor->child of "F".  Let "m" be a reference mass of 20kg. Initially the mass of the child 2.1x"m" and the mass of the wheelchair (including adult occupant) is M = 5.5x"m".  A dog jumps into the adult occupant's lap so that the new mass of the wheelchair plus dog and adult is 9.2x"m".  What is the ratio of the new acceleration to the old? i.e.: anew/aold. (please explain)

Please include appropriate units and at least 1% accuracy.

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