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

User Mika Lammi
by
2.6k points

2 Answers

28 votes
28 votes

Final answer:

To calculate the extra force exerted on the bottom of the bottle, we can use the formula for pressure.

Step-by-step explanation:

In order to calculate the extra force exerted on the bottom of the bottle, we need to calculate the pressure exerted by the cork on the bottom. The pressure can be calculated using the formula: pressure = force/area. We know that the force exerted by the cork is 120 N and the area of the bottom of the bottle is given as 14.0 cm * 14.0 cm.

First, we need to convert the diameter of the cork (2.00 cm) to its radius (1.00 cm). Then, we can calculate the area of the cork using the formula: area = π * radius^2.

Finally, we can calculate the pressure exerted on the bottom of the bottle by dividing the force exerted by the cork by the area of the bottom of the bottle.

User Ben Nutzer
by
2.9k points
21 votes
21 votes

Final answer:

To calculate the extra force exerted on the bottom of the bottle, we can use the formula for pressure.

Step-by-step explanation:

In order to calculate the extra force exerted on the bottom of the bottle, we need to calculate the pressure exerted by the cork on the bottom. The pressure can be calculated using the formula: pressure = force/area. We know that the force exerted by the cork is 120 N and the area of the bottom of the bottle is given as 14.0 cm * 14.0 cm.

First, we need to convert the diameter of the cork (2.00 cm) to its radius (1.00 cm). Then, we can calculate the area of the cork using the formula: area = π * radius^2.

Finally, we can calculate the pressure exerted on the bottom of the bottle by dividing the force exerted by the cork by the area of the bottom of the bottle.

User Sohil Pandya
by
2.5k points