Three blocks rest on a frictionless, horizontal table (Fig. P3.36), with m1 = 4.8 kg and m3 = 8 kg. A horizontal force F = 133.5 N is applied to block 1, and the acceleration of all three blocks is found to be 4.9 m/s². (a) Find mɔ.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter5: Newton's Laws Of Motion
Section: Chapter Questions
Problem 72PQ: A block of ice (m = 15.0 kg) with an attached rope is at rest on a frictionless surface. You pull...
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**Title: Three Blocks in Contact**

**Problem Statement:**

Three blocks rest on a frictionless horizontal table. The masses are as follows:
- \( m_1 = 4.2 \, \text{kg} \)
- \( m_3 = 8 \, \text{kg} \)

A horizontal force \( F = 13.5 \, \text{N} \) is applied to block 1. The acceleration of all three blocks is found to be \( 4.9 \, \text{m/s}^2 \).

**Tasks:**
- **(a)** Find \( m_2 \).
- **(b)** What is the normal force between blocks 2 and 3?

**Diagram Description:**

The diagram shows three blocks in contact with each other aligned horizontally.
- The force \( F \) is applied to the first block, \( m_1 \).
- The blocks are labeled \( m_1 \), \( m_2 \), and \( m_3 \) from left to right.

Each block is depicted in contact with the next, indicating their alignment and interaction on the frictionless surface.
Transcribed Image Text:**Title: Three Blocks in Contact** **Problem Statement:** Three blocks rest on a frictionless horizontal table. The masses are as follows: - \( m_1 = 4.2 \, \text{kg} \) - \( m_3 = 8 \, \text{kg} \) A horizontal force \( F = 13.5 \, \text{N} \) is applied to block 1. The acceleration of all three blocks is found to be \( 4.9 \, \text{m/s}^2 \). **Tasks:** - **(a)** Find \( m_2 \). - **(b)** What is the normal force between blocks 2 and 3? **Diagram Description:** The diagram shows three blocks in contact with each other aligned horizontally. - The force \( F \) is applied to the first block, \( m_1 \). - The blocks are labeled \( m_1 \), \( m_2 \), and \( m_3 \) from left to right. Each block is depicted in contact with the next, indicating their alignment and interaction on the frictionless surface.
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