Learning Goal: 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 F₂ = 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 2.4 s after you started pushing on it?

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Chapter1: Units, Trigonometry. And Vectors
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Part C
Find the box's speed vf at 2.4 s after you first started pushing on it.
► View Available Hint(s)
Uf =
IV—| ΑΣΦ
?
m/s
Transcribed Image Text:Part C Find the box's speed vf at 2.4 s after you first started pushing on it. ► View Available Hint(s) Uf = IV—| ΑΣΦ ? m/s
Learning Goal:
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 F₂ = 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 2.4 s after you
started pushing on it?
Figure
45°
F₂
1 of 1
Transcribed Image Text:Learning Goal: 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 F₂ = 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 2.4 s after you started pushing on it? Figure 45° F₂ 1 of 1
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**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 \( f = 0.516F_p \).

\[ F_p = \boxed{\phantom{} } \text{ N} \]

**Explanation of Interface:**

The interface provides a text box for inputting the solution, labeled with the force \( F_p \) in newtons (N). Users can access hints by clicking on "View Available Hint(s)" and can interact with the answer box, which may include features like a reset button, history, and help symbols.
Transcribed Image Text:**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 \( f = 0.516F_p \). \[ F_p = \boxed{\phantom{} } \text{ N} \] **Explanation of Interface:** The interface provides a text box for inputting the solution, labeled with the force \( F_p \) in newtons (N). Users can access hints by clicking on "View Available Hint(s)" and can interact with the answer box, which may include features like a reset button, history, and help symbols.
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