A warehouse worker is pushing a 90.0 kg crate with a horizontal force of 276N at a speed of v = 0.875m/s across the warehouse floor. He encounters a rough horizontal section of the floor that is 0.75 m long and where the coefficient of kinetic friction between the crate and floor is 0.353.(a)Determine the magnitude and direction of the net force acting on the crate while it is pushed over the rough section of the floor.magnitude Ndirection ---Select--- up down in the same direction as the motion of the crate in the opposite direction as the motion of the crate(b)Determine the net work done on the crate while it is pushed over the rough section of the floor.J(c)Find the speed of the crate when it reaches the end of the rough surface.m/s **Force and Motion: Pushing a Box**In this diagram, we see a person pushing a wooden box from left to right. The box is denoted by the letter \( m \), which typically represents mass in physics. The movement of the box is indicated by the green arrow labeled with \( \vec{v} \), which symbolizes velocity.### Key Components of the Diagram:1. **Person Exerting Force:** - A person is shown applying a force to the box to move it along a surface.2. **Box with Mass (\( m \)):** - The wooden box, characterized by an "X" pattern on its side, has a mass \( m \).3. **Velocity (\( \vec{v} \)):** - A green arrow pointing to the right illustrates the velocity direction, showing that the box is moving to the right.4. **Displacement (\( d \)):** - The horizontal distance over which the box is moved is indicated by the variable \( d \), with two horizontal arrows pointing away from each other.This illustration can be used to explain several key concepts in physics:- **Newton's Laws of Motion:** The diagram can help us understand how an applied force causes the box to accelerate and move along the surface.- **Work Done by Force:** The displacement \( d \) and the exerted force can be used to calculate the work done on the box.- **Kinematics and Dynamics:** The variables \( \vec{v} \), \( m \), and \( d \) play significant roles in discussing the box's speed, acceleration, and the forces acting upon it.By analyzing this scenario, students can learn about the relationship between force, mass, displacement, and velocity in the context of classical mechanics.

Name: A warehouse worker is pushing a 90.0 kg crate with a horizontal force
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Description: A warehouse worker is pushing a 90.0 kg crate with a horizontal force of 276N at a speed of v = 0.875m/s across the warehouse floor. He encounters a rough horizontal section of the floor that is 0.75 m long and where the coefficient of kinetic fricti

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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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A warehouse worker is pushing a 90.0 kg crate with a horizontal force of 276N at a speed of v = 0.875m/s across the warehouse floor. He encounters a rough horizontal section of the floor that is 0.75 m long and where the coefficient of kinetic friction between the crate and floor is 0.353.

(a)

Determine the magnitude and direction of the net force acting on the crate while it is pushed over the rough section of the floor.

magnitude Ndirection ---Select--- up down in the same direction as the motion of the crate in the opposite direction as the motion of the crate

(b)

Determine the net work done on the crate while it is pushed over the rough section of the floor.

(c)

Find the speed of the crate when it reaches the end of the rough surface.

m/s

**Force and Motion: Pushing a Box**

In this diagram, we see a person pushing a wooden box from left to right. The box is denoted by the letter \( m \), which typically represents mass in physics. The movement of the box is indicated by the green arrow labeled with \( \vec{v} \), which symbolizes velocity.

### Key Components of the Diagram:

1. **Person Exerting Force:**
- A person is shown applying a force to the box to move it along a surface.

2. **Box with Mass (\( m \)):**
- The wooden box, characterized by an "X" pattern on its side, has a mass \( m \).

3. **Velocity (\( \vec{v} \)):**
- A green arrow pointing to the right illustrates the velocity direction, showing that the box is moving to the right.

4. **Displacement (\( d \)):**
- The horizontal distance over which the box is moved is indicated by the variable \( d \), with two horizontal arrows pointing away from each other.

This illustration can be used to explain several key concepts in physics:

- **Newton's Laws of Motion:** The diagram can help us understand how an applied force causes the box to accelerate and move along the surface.
- **Work Done by Force:** The displacement \( d \) and the exerted force can be used to calculate the work done on the box.
- **Kinematics and Dynamics:** The variables \( \vec{v} \), \( m \), and \( d \) play significant roles in discussing the box's speed, acceleration, and the forces acting upon it.

By analyzing this scenario, students can learn about the relationship between force, mass, displacement, and velocity in the context of classical mechanics.

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