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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° 1 of 1

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° 1 of 1

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
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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**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 \( F_p = 23.0 \, \text{N} \), 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 2.4 s after you started pushing on it? **Figure Description:** The diagram depicts a vertical wall with a box sliding down along its surface. A force vector \( \vec{F}_p \) is shown acting at a 45° angle to the horizontal in the direction toward the box. The gravitational force is acting directly downward on the box.
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 \( F_p = 23.0 \, \text{N} \), 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 2.4 s after you started pushing on it? **Figure Description:** The diagram depicts a vertical wall with a box sliding down along its surface. A force vector \( \vec{F}_p \) is shown acting at a 45° angle to the horizontal in the direction toward the box. The gravitational force is acting directly downward on the box.
**Part A** Using our simplified model, in which we know that the forces are constant (but we don’t know what their magnitudes are), which, perhaps more than one, of the following motion diagrams could be a *reasonable* representation of the motion of the box? **Diagram Explanation:** - The image shows four different motion diagrams labeled A, B, C, and D. - Each diagram consists of a series of dots along a vertical line, representing the position of the box at successive times. - Arrows are placed between the dots to indicate the direction and relative magnitude of acceleration \((\vec{a})\). - In Diagram A: - Initially, no arrow is shown (at the point labeled "start to push"), indicating \(\vec{a} = 0\). - Upward arrows follow the starting point. - In Diagram B: - Initially, no arrow is shown (at the point labeled "start to push"), indicating \(\vec{a} = 0\). - Downward arrows follow the starting point. - In Diagram C: - Initially, upward arrows are present. - Downward arrows follow the upward ones, indicated by a change of direction. - In Diagram D: - Initially, downward arrows are present. - Upward arrows follow the downward ones, indicated by a change of direction. **Question:** Check all that apply. - [ ] A - [ ] B - [ ] C - [ ] D
Transcribed Image Text:**Part A** Using our simplified model, in which we know that the forces are constant (but we don’t know what their magnitudes are), which, perhaps more than one, of the following motion diagrams could be a *reasonable* representation of the motion of the box? **Diagram Explanation:** - The image shows four different motion diagrams labeled A, B, C, and D. - Each diagram consists of a series of dots along a vertical line, representing the position of the box at successive times. - Arrows are placed between the dots to indicate the direction and relative magnitude of acceleration \((\vec{a})\). - In Diagram A: - Initially, no arrow is shown (at the point labeled "start to push"), indicating \(\vec{a} = 0\). - Upward arrows follow the starting point. - In Diagram B: - Initially, no arrow is shown (at the point labeled "start to push"), indicating \(\vec{a} = 0\). - Downward arrows follow the starting point. - In Diagram C: - Initially, upward arrows are present. - Downward arrows follow the upward ones, indicated by a change of direction. - In Diagram D: - Initially, downward arrows are present. - Upward arrows follow the downward ones, indicated by a change of direction. **Question:** Check all that apply. - [ ] A - [ ] B - [ ] C - [ ] D
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