Find magnitude of the force exerted on the bottom of bottom

Reference no: EM1388983

Q. 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 D_top = 2.00 cm and the bottom of the bottle has a diameter of D_bot = 6.50 cm. The glass breaks while it is exposed to p_max = 70.0 MPa 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 = 0.48 kg and moves downward at the speed of v_i = 5.00 m/s. It collides elastically with the cork and rebounds with the equal speed. The collision lasts for t = 1.2×10-4 s. In this problem, positive direction is upward.

What is the magnitude of the force exerted on the bottom of the bottle?

State your reply in Newton to four significant figures.

Reference no: EM1388983

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