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A person pushes on a 74 kg refrigerator by a horizontal force of 215 N. (Assume...

A person pushes on a 74 kg refrigerator by a horizontal force of 215 N. (Assume the push is in the +x-direction.)

#1) If the coefficient of static friction is 0.65, what are the magnitude (in N) and the direction (in degrees counterclockwise from the +x-axis) of the force of the static friction? Does the person move the refrigerator?

#2) What is the magnitude (in N) of the largest push that the person can apply to the refrigerator just before it begins to move?

#3) Two objects of masses m1 = 740 kg and m2 = 280 kg are placed d12 = 0.55 m from each other. A third object of mass m3 = 76.0 kg is placed between them.

a) Find the net gravitational force (in N) on m3 by m1 and m2 when it is midway between them. (Enter the magnitude.)

b) Is there any position in which m3 experiences zero net force from m1 and m2? (Give your answer as distance in metres between m1 and m3. If no such position exists, simply say that there is NONE.

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