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How do we know 10 Newtons is acting?
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I think you people know how we can say that with confidence.
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How do we know the mass of this is 5 kilograms?
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We know how you got that from an earlier experiment.
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Now, we know how the numbers come in.
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The algebra is, of course, very trivial here.
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Then, the next problem is a little more interesting.
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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.