## Problem 1: A horizontal force $ F $ is applied to $ m_1 $. Take $ m_1 = 2.0 \, \text{kg} $, $ m_2 = 3.0 \, \text{kg} $, $ m_3 = 4.0 \, \text{kg} $, and $ F = 18.0 \, \text{N} $. The blocks move to the right with an acceleration $ a $ on a frictionless surface.### Tasks:a) Determine the acceleration of the blocks. - **Answer:** $ a = 2.0 \, \text{m/s}^2 $b) Find $ C_{1 \, \text{and} \, 2} $, the contact forces between $ m_1 $ and $ m_2 $. - **Answer:** $ C_{1 \, \text{and} \, 2} = 14.0 \, \text{N} $c) Find $ C_{2 \, \text{and} \, 3} $, the contact forces between $ m_2 $ and $ m_3 $. - **Answer:** $ C_{2 \, \text{and} \, 3} = 8.0 \, \text{N} $### Equations:- $ \vec{F}_{\text{net}} = m \vec{a} $- $ F_g = mg $- $ g = 9.8 \, \frac{\text{m}}{\text{sec}^2} $### Diagram Explanation:The diagram shows three blocks, $ m_1 $, $ m_2 $, and $ m_3 $, aligned horizontally. A force $ F $ is indicated by a large horizontal arrow pointing to the right, applied on $ m_1 $. The blocks are on a frictionless surface, moving to the right under the influence of the force.

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Problem 1: A horizontal force F is applied to m₁. Take m₁ = 2.0 kg, m₂ = 3.0 kg, m3 = 4.0 kg, and F = 18.0 N. The blocks move to the right with an acceleration a on a frictionless surface. a) Determine the acceleration of the blocks. Answer: a = 2.0 m/sec² b) Find C₁ and 2, the contact forces between m₁ and m₂. Answer: C₁ and 2 = 14.0 N c) Find C2 and 3, the contact forces between m₂ and m3. Answer: C₂ and 3 = 8.0 N F — m1 m2 m3

Problem 1: A horizontal force F is applied to m₁. Take m₁ = 2.0 kg, m₂ = 3.0 kg, m3 = 4.0 kg, and F = 18.0 N. The blocks move to the right with an acceleration a on a frictionless surface. a) Determine the acceleration of the blocks. Answer: a = 2.0 m/sec² b) Find C₁ and 2, the contact forces between m₁ and m₂. Answer: C₁ and 2 = 14.0 N c) Find C2 and 3, the contact forces between m₂ and m3. Answer: C₂ and 3 = 8.0 N F — m1 m2 m3

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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Question

## Problem 1:

A horizontal force $ F $ is applied to $ m_1 $. Take $ m_1 = 2.0 \, \text{kg} $, $ m_2 = 3.0 \, \text{kg} $, $ m_3 = 4.0 \, \text{kg} $, and $ F = 18.0 \, \text{N} $. The blocks move to the right with an acceleration $ a $ on a frictionless surface.

### Tasks:
a) Determine the acceleration of the blocks.
- **Answer:** $ a = 2.0 \, \text{m/s}^2 $

b) Find $ C_{1 \, \text{and} \, 2} $, the contact forces between $ m_1 $ and $ m_2 $.
- **Answer:** $ C_{1 \, \text{and} \, 2} = 14.0 \, \text{N} $

c) Find $ C_{2 \, \text{and} \, 3} $, the contact forces between $ m_2 $ and $ m_3 $.
- **Answer:** $ C_{2 \, \text{and} \, 3} = 8.0 \, \text{N} $

### Equations:

- $ \vec{F}_{\text{net}} = m \vec{a} $
- $ F_g = mg $
- $ g = 9.8 \, \frac{\text{m}}{\text{sec}^2} $

### Diagram Explanation:

The diagram shows three blocks, $ m_1 $, $ m_2 $, and $ m_3 $, aligned horizontally. A force $ F $ is indicated by a large horizontal arrow pointing to the right, applied on $ m_1 $. The blocks are on a frictionless surface, moving to the right under the influence of the force.

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