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Example #$10$

Billy decides to invite Tony to go canoeing with some of his human friends. The two groups of canoeists meet in the middle of a lake. Tony, who is in canoe one, doesn't like the other people in canoe two, and he pushes on canoe two with a force of $46$ N to separate the canoes. The mass of canoe one and its occupants is $150$ kg $($ M $1),$ and the mass of canoe two and its occupants is $250kg($M$2).$

$($A$)$ Find the acceleration the push gives to each canoe.

$($B$)$ How far have the two canoes seperated after $1\mathrm{.}2$ s of pushing?