A glass soda bottle is emptied of soda and filled to the very top with water. A

Question

A glass soda bottle is emptied of soda and filled to the very top with water. A cork is carefully fitted into the top of the bottle, leaving no air between the cork and the water. (Figure 1) The top of the bottle has a diameter of Dtop = 2.00cm and the bottom of the bottle has a diameter of Dbot = 6.50cm . The glass breaks when it is exposed to pmax = 70.0MPa of pressure. A student hits the cork sharply with her fist and the bottom of the bottle breaks. The student's fist has a mass of m = 0.480kg and moves downward at a speed of vi = 5.00m/s . It collides elastically with the cork and rebounds with the same speed. The collision lasts for t = 1.20X10^-4 s . In this problem, the positive direction is upward. What is the force that her fist exerts on the top of the bottle?

Explanation / Answer

Given Rt=0.0100m, Rb=0.0325m, m=0.480kg, vi=-vf=5.00m/s, tc=120?s
Find top and bottom areas:
At = ?(Rt)

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