Breaking a Glass Soda Bottle

  • #1
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. (Intro 1 figure) 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.

Part A
What is the force that the fist exerts on the top of the bottle?
Express your answer in newtons.

Where do I even begin with this?
 

Answers and Replies

  • #2
tiny-tim
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Welcome to PF!

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. (Intro 1 figure) 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.
Part A
What is the force that the fist exerts on the top of the bottle?
Express your answer in newtons.

Hi doggieslover! Welcome to PF! :smile:

Hint: use good ol' Newton's second law … force = rate of change of momentum …

how much momentum is changed? and over what time? :smile:
 
  • #3
Thanks
 

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