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Physics Lesson 9.2.2 - Example - Minimum Force

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Welcome to our Physics lesson on Example - Minimum Force, this is the second lesson of our suite of physics lessons covering the topic of Pressure. Solid Pressure, you can find links to the other lessons within this tutorial and access additional physics learning resources below this lesson.

Solid Pressure Example - Minimum Force

Example 1

What is the minimum force one must use (only by pushing, not hitting) to drive a nail into a solid surface if this surface can hold a maximum pressure of 4 000 000 Pa? The nail tip is 2 mm2 thick.

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Solution 1

The minimum force is applied when it is exerted normal to the surface, i.e. θ = 90 and therefore, sin θ = 1.

Let's write both pressure and area in standard form. Thus,

Pmax = 4 000 000 Pa = 4 × 106 Pa

A = 2 mm2 = 2 × 106 m2

F = ?

We have:

P = F/A ⇒ F = P × A
= 4 × 106 Pa × 2 × 10-6 m2
= 8 N

You have reached the end of Physics lesson 9.2.2 Example - Minimum Force. There are 3 lessons in this physics tutorial covering Pressure. Solid Pressure, you can access all the lessons from this tutorial below.

More Pressure. Solid Pressure Lessons and Learning Resources

Density and Pressure Learning Material
Tutorial IDPhysics Tutorial TitleTutorialVideo
Tutorial
Revision
Notes
Revision
Questions
9.2Pressure. Solid Pressure
Lesson IDPhysics Lesson TitleLessonVideo
Lesson
9.2.1The Meaning of Pressure
9.2.2Example - Minimum Force
9.2.3Example - Pressure Comparison

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  6. Continuing learning density and pressure - read our next physics tutorial: Liquid Pressure. Pascal's Principle

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