### Problem StatementAssume the three blocks (\(m_1 = 1.0\, \text{kg}\), \(m_2 = 2.0\, \text{kg}\), and \(m_3 = 4.0\, \text{kg}\)) portrayed in the figure below move on a frictionless surface, and a force \(F = 40\, \text{N}\) acts as shown on the \(4.0\, \text{kg}\) block.![Diagram](figure)### Tasks**(a)** Determine the acceleration given this system (in \(\text{m/s}^2\) to the right).\[ \boxed{\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ } \text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ } \text{ } \text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ } \text{ }\text{ }\, \text{ }\text{ }\text{ }\, \text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ } \text{ }\text{ }\text{ }\text{ }\text{ } \,\text{m/s}^2 }\]**(b)** Determine the tension in the cord connecting the \(4.0\, \text{kg}\) and the \(1.0\, \text{kg}\) blocks (in N).\[ \boxed{\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\, \text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ } \text{ }\text{ }\text{ }\text{ }\, \text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ } \text{ }\text

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Assume the three blocks (m₁ = 1.0 kg, m₂ = 2.0 kg, and m₂ = 4.0 kg) portrayed in the figure below move on a frictionless surface and a force F = 40 N acts as shown on the 4.0 kg block. F m₂ (a) Determine the acceleration given this system (in m/s² to the right). m/s2 (to the right) (b) Determine the tension in the cord connecting the 4.0 kg and the 1.0 kg blocks (in N). N (c) Determine the force exerted by the 1.0 kg block on the 2.0 kg block (in N). N (d) What If? How would your answers to parts (a) and (b) of this problem change if the 2.0 kg block was now stacked on top of the 1.0 kg block? Assume that the 2.0 kg block sticks to and does not slide on the 1.0 kg block when the system is accelerated. (Enter the acceleration in m/s2 to the right and the tension in N.) acceleration m/s2 (to the right) tension N Need Help? Read It Master It

Assume the three blocks (m₁ = 1.0 kg, m₂ = 2.0 kg, and m₂ = 4.0 kg) portrayed in the figure below move on a frictionless surface and a force F = 40 N acts as shown on the 4.0 kg block. F m₂ (a) Determine the acceleration given this system (in m/s² to the right). m/s2 (to the right) (b) Determine the tension in the cord connecting the 4.0 kg and the 1.0 kg blocks (in N). N (c) Determine the force exerted by the 1.0 kg block on the 2.0 kg block (in N). N (d) What If? How would your answers to parts (a) and (b) of this problem change if the 2.0 kg block was now stacked on top of the 1.0 kg block? Assume that the 2.0 kg block sticks to and does not slide on the 1.0 kg block when the system is accelerated. (Enter the acceleration in m/s2 to the right and the tension in N.) acceleration m/s2 (to the right) tension N Need Help? Read It Master It

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

Gravitational force

In nature, every object is attracted by every other object. This phenomenon is called gravity. The force associated with gravity is called gravitational force. The gravitational force is the weakest force that exists in nature. The gravitational force is always attractive.

Acceleration Due to Gravity

In fundamental physics, gravity or gravitational force is the universal attractive force acting between all the matters that exist or exhibit. It is the weakest known force. Therefore no internal changes in an object occurs due to this force. On the other hand, it has control over the trajectories of bodies in the solar system and in the universe due to its vast scope and universal action. The free fall of objects on Earth and the motions of celestial bodies, according to Newton, are both determined by the same force. It was Newton who put forward that the moon is held by a strong attractive force exerted by the Earth which makes it revolve in a straight line. He was sure that this force is similar to the downward force which Earth exerts on all the objects on it.

Question

### Problem Statement
Assume the three blocks (\(m_1 = 1.0\, \text{kg}\), \(m_2 = 2.0\, \text{kg}\), and \(m_3 = 4.0\, \text{kg}\)) portrayed in the figure below move on a frictionless surface, and a force \(F = 40\, \text{N}\) acts as shown on the \(4.0\, \text{kg}\) block.

![Diagram](figure)

### Tasks

**(a)** Determine the acceleration given this system (in \(\text{m/s}^2\) to the right).
\[ \boxed{\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ } \text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ } \text{ } \text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ } \text{ }\text{ }\, \text{ }\text{ }\text{ }\, \text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ } \text{ }\text{ }\text{ }\text{ }\text{ } \,\text{m/s}^2 }\]

**(b)** Determine the tension in the cord connecting the \(4.0\, \text{kg}\) and the \(1.0\, \text{kg}\) blocks (in N).
\[ \boxed{\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\, \text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ } \text{ }\text{ }\text{ }\text{ }\, \text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ } \text{ }\text

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