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Nail tips exert tremendous pressures when they are hit by

Chapter 11, Problem 13

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QUESTION:

Problem 13PE

Nail tips exert tremendous pressures when they are hit by hammers because they exert a large force over a small area. What force must be exerted on a nail with a circular tip of 1.00 mm diameter to create a pressure of 3.00×109 N/m2 ? (This high pressure is possible because the hammer striking the nail is brought to rest in such a short distance.)

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QUESTION:

Problem 13PE

Nail tips exert tremendous pressures when they are hit by hammers because they exert a large force over a small area. What force must be exerted on a nail with a circular tip of 1.00 mm diameter to create a pressure of 3.00×109 N/m2 ? (This high pressure is possible because the hammer striking the nail is brought to rest in such a short distance.)

ANSWER:

Solution 13PE:

Step 1 of 2:-

        Here we need to find the force exerted on the nail by the hammer which creates certain amount of pressure.

        The tip of the nail has a diameter of .

        So, the radius is, .

        So, the area of the circular tip will be,

        .

        The pressure created is,

        .

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