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Here I got 3 kg and I got 2 kg
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and I'm pushing with 10 Newtons and I want to know what happens.
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One way is to just use your common sense and realize
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that if you push it this way,
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these two guys are going to move together.
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And know intuitively that if they move together,
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they will behave like an object of mass 5
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and the acceleration will again be 2.
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But there's another way to do this
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and I'm going to give you
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now the simplest example of the other way,
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which is to draw free-body diagrams.