7. In figure, a cord pulls a box of sea biscuits up along a frictionless plane inclined at angle = 30.0°. The box has mass m = 5.00 kg, and the force from the cord has magnitude T = 25.0 N. What is the box's acceleration a along the inclined plane? The box accelerates. (a) Cord (6) Normal force 16M Cord's pull Gravitational force

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)...
icon
Related questions
Topic Video
Question
**Problem 7:**

In the figure, a cord pulls a box of sea biscuits up along a frictionless plane inclined at an angle \(\theta = 30.0^\circ\). The box has a mass \(m = 5.00 \, \text{kg}\), and the force from the cord has a magnitude \(T = 25.0 \, \text{N}\). What is the box’s acceleration \(a\) along the inclined plane?

**Explanation of Diagrams:**

- **Diagram (a):** Shows the box on the inclined plane. A cord is attached and pulling the box upward along the plane. An arrow indicates the direction of acceleration as the box moves up.

- **Diagram (b):** Illustrates the forces acting on the box in a free-body diagram format. 
  - **Gravitational Force (\(F_g\)):** Directed downwards, represented by a vertical arrow.
  - **Normal Force (\(F_N\)):** Perpendicular to the inclined plane, represented by an arrow pointing upwards and perpendicular to the plane.
  - **Cord’s Pull (\(T\)):** Parallel to the plane, shown as an arrow pointing up the incline. 

This setup demonstrates the dynamics of the system, highlighting how the forces contribute to the box's motion along the incline.
Transcribed Image Text:**Problem 7:** In the figure, a cord pulls a box of sea biscuits up along a frictionless plane inclined at an angle \(\theta = 30.0^\circ\). The box has a mass \(m = 5.00 \, \text{kg}\), and the force from the cord has a magnitude \(T = 25.0 \, \text{N}\). What is the box’s acceleration \(a\) along the inclined plane? **Explanation of Diagrams:** - **Diagram (a):** Shows the box on the inclined plane. A cord is attached and pulling the box upward along the plane. An arrow indicates the direction of acceleration as the box moves up. - **Diagram (b):** Illustrates the forces acting on the box in a free-body diagram format. - **Gravitational Force (\(F_g\)):** Directed downwards, represented by a vertical arrow. - **Normal Force (\(F_N\)):** Perpendicular to the inclined plane, represented by an arrow pointing upwards and perpendicular to the plane. - **Cord’s Pull (\(T\)):** Parallel to the plane, shown as an arrow pointing up the incline. This setup demonstrates the dynamics of the system, highlighting how the forces contribute to the box's motion along the incline.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Knowledge Booster
Second law of motion
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON