Breaking a Glass Soda Bottle

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In summary, a glass soda bottle filled with water is exposed to pressure and breaks when a student hits the cork with her fist. The student's fist has a mass of 0.480 kg and moves downward at a speed of 5.00 m/s, colliding with the cork and rebounding elastically. The collision lasts for 1.20×10−4 s. The question asks for the force exerted by the fist on the top of the bottle, which can be calculated using Newton's second law by considering the change in momentum over the duration of the collision.
  • #1
doggieslover
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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?
 
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  • #2
Welcome to PF!

doggieslover said:
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
 

1. How does a glass soda bottle break?

A glass soda bottle breaks when there is enough force or pressure applied to it. This can be caused by dropping the bottle, hitting it against a hard surface, or even thermal shock from sudden changes in temperature.

2. Can a glass soda bottle break on its own?

It is highly unlikely for a glass soda bottle to break on its own without any external force or pressure. However, it is possible for a bottle to break due to internal flaws or weak points in the glass.

3. Is it safe to break a glass soda bottle?

No, it is not safe to purposely break a glass soda bottle. The shards of glass can cause serious injuries and should only be handled by trained professionals using proper safety equipment.

4. What happens when a glass soda bottle breaks?

When a glass soda bottle breaks, it shatters into small pieces and fragments. These pieces can be sharp and dangerous. It is important to carefully clean up and dispose of the broken glass to prevent any injuries.

5. Why do some glass soda bottles break easier than others?

The strength and durability of a glass soda bottle can vary depending on several factors such as the quality and thickness of the glass, any flaws or weak points in the glass, and the amount of force or pressure applied to the bottle. Some glass bottles may also be designed to break easier for safety reasons, such as those used for emergency situations.

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