A box of mass 3.0 kg slides down a rough vertical wall. The gravitational force on the box is 29.4 N. When the box reaches a speed of 2.5 m/s, you start pushing on one edge of the box at a 45° angle (use degrees in your calculations throughout this problem) with a constant force of magnitude F, = 23.0 N , as shown in (Figure 1). There is now a frictional force between the box and the wall of magnitude 13.0 N. How fast is the box sliding 3.0 s after you started pushing on it? I Review | Constants Part D Assuming that the angle at which you push on the edge of the box is again 45°, with what magnitude of force Fp should you push if the box were to slide down the wall at a constant velocity? Note that, in general, the magnitude of the friction force will change if you change the magnitude of the pushing force. Thus, for this part, assume that the magnitude of the friction force is f = 0.516Fp. Figure < 1 of 1 > > View Available Hint(s) ? F = N Submit 45°

College Physics
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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### Educational Text Transcription

**Problem Context:**

A box with a mass of 3.0 kg slides down a rough vertical wall. The gravitational force on the box is 29.4 N. When the box reaches a speed of 2.5 m/s, you start pushing on one edge of the box at a 45° angle, using degrees in calculations throughout this problem, with a constant force magnitude of \( F_p = 23.0 \, \text{N} \), as shown in Figure 1. There is now a frictional force between the box and the wall of magnitude 13.0 N. How fast is the box sliding 3.0 s after you started pushing on it?

**Figure Description:**

The figure shows a box sliding down a vertical wall. An arrow at a 45° angle represents the force \( F_p \) being applied to the edge of the box.

**Part D:**

Assuming that the angle at which you push on the edge of the box is again 45°, with what magnitude of force \( F_p \) should you push if the box were to slide down the wall at a constant velocity? Note that, in general, the magnitude of the friction force will change if you change the magnitude of the pushing force. Thus, for this part, assume that the magnitude of the friction force is \( f = 0.516F_p \).

**Interaction Section:**

- Input box for \( F_p \) with units in Newtons (N).
- A submit button to enter the calculated force.

**Hints and Help:**

- View available hints by expanding the hint section for assistance with the calculations.

**Navigation:**

- Option to provide feedback.
- A "Next" button for moving to the next problem or section.
Transcribed Image Text:### Educational Text Transcription **Problem Context:** A box with a mass of 3.0 kg slides down a rough vertical wall. The gravitational force on the box is 29.4 N. When the box reaches a speed of 2.5 m/s, you start pushing on one edge of the box at a 45° angle, using degrees in calculations throughout this problem, with a constant force magnitude of \( F_p = 23.0 \, \text{N} \), as shown in Figure 1. There is now a frictional force between the box and the wall of magnitude 13.0 N. How fast is the box sliding 3.0 s after you started pushing on it? **Figure Description:** The figure shows a box sliding down a vertical wall. An arrow at a 45° angle represents the force \( F_p \) being applied to the edge of the box. **Part D:** Assuming that the angle at which you push on the edge of the box is again 45°, with what magnitude of force \( F_p \) should you push if the box were to slide down the wall at a constant velocity? Note that, in general, the magnitude of the friction force will change if you change the magnitude of the pushing force. Thus, for this part, assume that the magnitude of the friction force is \( f = 0.516F_p \). **Interaction Section:** - Input box for \( F_p \) with units in Newtons (N). - A submit button to enter the calculated force. **Hints and Help:** - View available hints by expanding the hint section for assistance with the calculations. **Navigation:** - Option to provide feedback. - A "Next" button for moving to the next problem or section.
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