**Learning Goal:** To practice Problem-Solving Strategy 5.1 Newton's First Law: Equilibrium of a Particle.Suppose that you want to move a heavy box with mass 30.0 kg across a carpeted floor. You try pushing hard on one of the edges, but the box does not move. Suppose that you are pushing against the box from an angle 30.0° above horizontal with a force of magnitude 240 N. What is the magnitude of the friction force acting on the box?---**Figure Explanation:** - The diagram on the left shows a person attempting to push a box. The person is leaning slightly forward, indicating the direction of the force being applied. - To the right, there's a coordinate system labeled with axes x and y, representing the horizontal and vertical directions, respectively. This helps in analyzing the components of the forces acting on the box.**Instructions:** - Press `Enter` or `Space` to delete the selected element.- Press `Tab` to move to the next menu option.- Press `CTRL` + `Y` to get to the elements on the canvas.- Press `CTRL` + `Q` to quit the application. This setup leads into calculating and understanding the equilibrium conditions where the applied force does not result in motion, implying the presence of a balancing friction force.

Given:- The mass of the box is 30.0 kg The force applied to the box is F = 240 N an angle of 30 degrees with the horizontal. Find:- What is the magnitude of the friction force acting on the box? Solution:- We know that the force of friction act in the opposite direction of the motion of the object In the equilibrium condition Fcosθ-Fr=0 Fr= FcosθFr= 240cos30Fr= 207.846 N ≈207.85 Fr= 207.85 N The magnitude of the friction force acting on the box is 207.85 N

Science

Physics

Learning Goal: To practice Problem-Solving Strategy 5.1 Newton Law: Equilibrium of a Particle. Suppose that you want to move a heavy box with 30.0 kg across a carpeted floor. You try pushing one of the edges, but the box does not move. Su that you are pushing against the box from an ang above horizontal with a force of magnitude 240 N

Learning Goal: To practice Problem-Solving Strategy 5.1 Newton Law: Equilibrium of a Particle. Suppose that you want to move a heavy box with 30.0 kg across a carpeted floor. You try pushing one of the edges, but the box does not move. Su that you are pushing against the box from an ang above horizontal with a force of magnitude 240 N

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

Newton’s Third Law of Motion

The horse pulls the cart and the cart pulls the horse in response as per Newton third law. So the big question is, “Don’t the two forces cancel each other? How does the cart accelerate?”

Question

**Learning Goal:**
To practice Problem-Solving Strategy 5.1 Newton's First Law: Equilibrium of a Particle.

Suppose that you want to move a heavy box with mass 30.0 kg across a carpeted floor. You try pushing hard on one of the edges, but the box does not move. Suppose that you are pushing against the box from an angle 30.0° above horizontal with a force of magnitude 240 N. What is the magnitude of the friction force acting on the box?

---

**Figure Explanation:**

- The diagram on the left shows a person attempting to push a box. The person is leaning slightly forward, indicating the direction of the force being applied.

- To the right, there's a coordinate system labeled with axes x and y, representing the horizontal and vertical directions, respectively. This helps in analyzing the components of the forces acting on the box.

**Instructions:**

- Press `Enter` or `Space` to delete the selected element.
- Press `Tab` to move to the next menu option.
- Press `CTRL` + `Y` to get to the elements on the canvas.
- Press `CTRL` + `Q` to quit the application.

This setup leads into calculating and understanding the equilibrium conditions where the applied force does not result in motion, implying the presence of a balancing friction force.

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