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

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Chapter1: Units, Trigonometry. And Vectors
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### 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
Transcribed Image Text:### 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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