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1. Aoife is pushing on a large box, which has a mass of 15 kg. The...

1.

Aoife is pushing on a large box, which has a mass of 15 kg. The large box, in turn, pushes against a smaller box, which has a mass of 5 kg. Aoife pushes with a force of 160 N. The bottoms of the boxes are perfectly frictionless, but Aoife's shoes don't slip on the ground at all. Find the contact force between the boxes.

2.

Aoife gets in an elevator with the two boxes from the first question stacked on top of each other (total mass = 20 kg). The elevator begins accelerating downward, then travels at a constant speed for some time, then slows to a stop at the ground floor. If the rate of acceleration of the elevator is 2 m/s2 for both the speeding up and slowing down portions, find the apparent weight of the boxes at each point during this trip.

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