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how does newtons law intertia relate to a index card being placed on a cup then a penny ontop of the index then flicking it off?

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Answer:

when the card is withdrawn the coin falls in the cup but is not dragged along with it due to inertia that a body will remain in it's state of rest or uniform motion unless acted upon by external forces this is shown where the coin resists motion and remains in it's state of rest in the cup