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. 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 = 1.20×10?4s . In this problem, the positive direction is upward.
What is the force that the fist exerts on the top of the bottle?