You are using a hammer to pull a nail from the floor, as shown in (Figure 1). Force F2 is the force you apply to the handle, and force F1 is the force the hammer applies to the nail. Suppose that the maximum magnitude of the force F2 that you can apply to the hammer is 25 lb.

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**Item 10**

You are using a hammer to pull a nail from the floor, as shown in (Figure 1). Force \( \vec{F}_2 \) is the force you apply to the handle, and force \( \vec{F}_1 \) is the force the hammer applies to the nail. Suppose that the maximum magnitude of the force \( \vec{F}_2 \) that you can apply to the hammer is 25 lb.

### Part A
If you apply this force, what is the magnitude of the force \( \vec{F}_1 \) that the hammer applies to the nail?  
Express your answer in pounds.

\[ F_1 = \] (Answer box) lb  
[Submit] [Request Answer]  

[Provide Feedback]

**Figure 1 Description**

The figure shows a hammer being used to pull a nail from the floor. The hammer handle is inclined at an angle of \(60^\circ\) with the ground. There are two forces indicated in the figure:

- \( \vec{F}_2 \) is the force applied by the user on the handle, directed vertically upward.
- \( \vec{F}_1 \) is the force applied by the hammer on the nail, directed to the right and slightly downward at a \(60^\circ\) angle from the vertical.

There are two key measurements in the figure:
- The perpendicular distance from the point where the handle meets the hammer head (point A) to the other end of the handle is 0.300 meters.
- The distance from point A to the nail along the ground is 0.080 meters.

This diagram helps visualize the lever mechanics of the hammer in pulling the nail.
Transcribed Image Text:**Item 10** You are using a hammer to pull a nail from the floor, as shown in (Figure 1). Force \( \vec{F}_2 \) is the force you apply to the handle, and force \( \vec{F}_1 \) is the force the hammer applies to the nail. Suppose that the maximum magnitude of the force \( \vec{F}_2 \) that you can apply to the hammer is 25 lb. ### Part A If you apply this force, what is the magnitude of the force \( \vec{F}_1 \) that the hammer applies to the nail? Express your answer in pounds. \[ F_1 = \] (Answer box) lb [Submit] [Request Answer] [Provide Feedback] **Figure 1 Description** The figure shows a hammer being used to pull a nail from the floor. The hammer handle is inclined at an angle of \(60^\circ\) with the ground. There are two forces indicated in the figure: - \( \vec{F}_2 \) is the force applied by the user on the handle, directed vertically upward. - \( \vec{F}_1 \) is the force applied by the hammer on the nail, directed to the right and slightly downward at a \(60^\circ\) angle from the vertical. There are two key measurements in the figure: - The perpendicular distance from the point where the handle meets the hammer head (point A) to the other end of the handle is 0.300 meters. - The distance from point A to the nail along the ground is 0.080 meters. This diagram helps visualize the lever mechanics of the hammer in pulling the nail.
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