The 10-1b box falls off the conveyor belt at 5-ft/s. The coefficient of kinetic friction along AB is k = 0.2. Suppose that h = 37 ft. (Figure 1) Figure 800 15 ft h 5 ft/s 5 ft 1 of 1 Part A Determine the distance x when the box falls into the cart. Express your answer to three significant figures and include the appropriate units. x = Value Submit μA Provide Feedback Request Answer Units ? Next >

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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**Problem Statement:**

The 10-lb box falls off the conveyor belt at 5 ft/s. The coefficient of kinetic friction along AB is \( \mu_k = 0.2 \). Suppose that \( h = 37 \text{ ft} \). 

**Task: Determine the distance \( x \) when the box falls into the cart.**

Express your answer to three significant figures and include the appropriate units.

---

**Diagram Explanation:**

The diagram illustrates a scenario where a box slides off a conveyor belt at point \( A \) with an initial speed of 5 ft/s. The path \( AB \) is inclined and dominated by kinetic friction with a coefficient \( \mu_k = 0.2 \). The vertical drop from the conveyor to the ground level is given as 15 ft, and the total height \( h \) from the top of the conveyor to point \( B \) is 37 ft.

The goal is to calculate the horizontal distance \( x \) from point \( B \) to point \( C \), where the box lands into a cart.

Key elements in the diagram:
- A vertical height of 15 ft below the conveyor belt.
- An inclined pathway along \( AB \) with kinetic friction.
- The horizontal component \( x \) extends from point \( B \) to a cart at point \( C \).

This exercise requires knowledge of physics principles, specifically dynamics and friction, to calculate the required distance.
Transcribed Image Text:**Problem Statement:** The 10-lb box falls off the conveyor belt at 5 ft/s. The coefficient of kinetic friction along AB is \( \mu_k = 0.2 \). Suppose that \( h = 37 \text{ ft} \). **Task: Determine the distance \( x \) when the box falls into the cart.** Express your answer to three significant figures and include the appropriate units. --- **Diagram Explanation:** The diagram illustrates a scenario where a box slides off a conveyor belt at point \( A \) with an initial speed of 5 ft/s. The path \( AB \) is inclined and dominated by kinetic friction with a coefficient \( \mu_k = 0.2 \). The vertical drop from the conveyor to the ground level is given as 15 ft, and the total height \( h \) from the top of the conveyor to point \( B \) is 37 ft. The goal is to calculate the horizontal distance \( x \) from point \( B \) to point \( C \), where the box lands into a cart. Key elements in the diagram: - A vertical height of 15 ft below the conveyor belt. - An inclined pathway along \( AB \) with kinetic friction. - The horizontal component \( x \) extends from point \( B \) to a cart at point \( C \). This exercise requires knowledge of physics principles, specifically dynamics and friction, to calculate the required distance.
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