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. 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 when 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 = 0.480 kg and moves downward at a speed of v_i = 5.00 m/s. It collides elastically with the cork and rebounds with the same speed. The collision lasts for t = 1.20×10-4 s. In this problem, the positive direction is upward.

Explanation / Answer

(b) pressure is equal top and bottomso... . force / area ontop = force /area on bottom . force /d2 on top = force /d2 on bottom . 40000 /2.02 = force on bottom /6.52 . force on bottom = 422500N or 4.225 x 105 N . If they want the pressure on the bottom... . from inside: p = F/ A = 422500 / p (0.065/2)2 = 1.273 x 108 Pa = 127.3MPa . from outside: oneatm = 0.101 MPa . netpressure 127.2 MPa whichmeans the glass will break

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.