**Problem Statement:**The problem involves a 10-lb box that falls off a conveyor belt at 5 ft/s. With a coefficient of kinetic friction \(\mu_k = 0.2\) along the inclined plane \(AB\), the task is to determine the distance \(x\) when the box falls into the cart.**Diagram Explanation:**- The diagram shows a setup with a conveyor belt and an inclined plane that has a box moving downward.- The initial height \(A\) is 15 ft above the ground.- The inclined plane \(AB\) is shown with a 3-4-5 triangle, implying it has a specific slope.- The inclined plane leads to a point \(B\), which is 30 ft above the ground.- From point \(B\), the box follows a parabolic path to point \(C\), which is located 5 ft above the ground on the cart.- The cart is positioned at a horizontal distance \(x\) from the base of the incline.**Objective:**Calculate the horizontal distance \(x\) where the box lands in the cart after sliding and falling off the inclined plane.

Motion of projectile can be divided into x component and y component.

Answered: *14-28. The 10-lb box falls off the…

*14-28. The 10-lb box falls off the conveyor belt at 5-ft/s. If the coefficient of kinetic friction along AB is µg = 0.2, determine the distance x when the box falls into the cart.

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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Concept explainers

Static and Kinetic Friction

Kinetic friction comes into existence when there are moving surfaces means in other words we can say that the force which comes into existing between moving surfaces is known as kinetic friction.

Question

**Problem Statement:**

The problem involves a 10-lb box that falls off a conveyor belt at 5 ft/s. With a coefficient of kinetic friction \(\mu_k = 0.2\) along the inclined plane \(AB\), the task is to determine the distance \(x\) when the box falls into the cart.

**Diagram Explanation:**

- The diagram shows a setup with a conveyor belt and an inclined plane that has a box moving downward.
- The initial height \(A\) is 15 ft above the ground.
- The inclined plane \(AB\) is shown with a 3-4-5 triangle, implying it has a specific slope.
- The inclined plane leads to a point \(B\), which is 30 ft above the ground.
- From point \(B\), the box follows a parabolic path to point \(C\), which is located 5 ft above the ground on the cart.
- The cart is positioned at a horizontal distance \(x\) from the base of the incline.

**Objective:**

Calculate the horizontal distance \(x\) where the box lands in the cart after sliding and falling off the inclined plane.

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