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An object rests flat on a tablecloth, which is on top of a table. Suppose you...

An object rests flat on a tablecloth, which is on top of a table. Suppose you suddenly pull on the tablecloth in the horizontal direction, giving the tablecloth an acceleration of a. As you probably know, if the acceleration is too slow, the object will move with the cloth. But once the acceleration is larger than some critical value a0, the object will start to slide relative to the cloth. If the coefficient of static fraction between the object and the cloth is µs = 0.2, what is this a0? (You should find that you don’t need to know the object’s mass.) Hint: Suppose the acceleration is less than a0. Then the object is accelerating together with the cloth; so there is some force—on the object—that is making the object accelerate. What is this force?)

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