1. Refer to figure 2. The object (bottom left) lies on a table and experiences a 2.0 N horizontal force. Calculate its acceleration, and its final velocity after it travels 10.0 m. Figure 1 0.50 kg

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Chapter1: Units, Trigonometry. And Vectors
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**Problem Statement:**

1. Refer to figure 2. The object (bottom left) lies on a table and experiences a 2.0 N horizontal force. Calculate its acceleration, and its final velocity after it travels 10.0 m.

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**Figure 1 Explanation:**

- A diagram is shown with a block labeled "0.50 kg" resting on a horizontal line, representing a table surface.

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**Solution Steps:**

1. **Calculate Acceleration:**

   - **Given:**
     - Mass (m) = 0.50 kg
     - Force (F) = 2.0 N
     - Using Newton's Second Law: F = ma
     - Acceleration (a) = F / m

   - **Calculation:**
     - a = 2.0 N / 0.50 kg = 4.0 m/s²

2. **Calculate Final Velocity:**

   - **Given:**
     - Initial velocity (u) = 0 (starts from rest)
     - Distance (s) = 10.0 m
     - Use the equation of motion: v² = u² + 2as

   - **Calculation:**
     - v² = 0 + 2 * 4.0 m/s² * 10.0 m
     - v² = 80
     - v = √80
     - v = 8.94 m/s

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**Conclusion:**

The object's acceleration is 4.0 m/s², and its final velocity after traveling 10.0 m is approximately 8.94 m/s.
Transcribed Image Text:**Problem Statement:** 1. Refer to figure 2. The object (bottom left) lies on a table and experiences a 2.0 N horizontal force. Calculate its acceleration, and its final velocity after it travels 10.0 m. --- **Figure 1 Explanation:** - A diagram is shown with a block labeled "0.50 kg" resting on a horizontal line, representing a table surface. --- **Solution Steps:** 1. **Calculate Acceleration:** - **Given:** - Mass (m) = 0.50 kg - Force (F) = 2.0 N - Using Newton's Second Law: F = ma - Acceleration (a) = F / m - **Calculation:** - a = 2.0 N / 0.50 kg = 4.0 m/s² 2. **Calculate Final Velocity:** - **Given:** - Initial velocity (u) = 0 (starts from rest) - Distance (s) = 10.0 m - Use the equation of motion: v² = u² + 2as - **Calculation:** - v² = 0 + 2 * 4.0 m/s² * 10.0 m - v² = 80 - v = √80 - v = 8.94 m/s --- **Conclusion:** The object's acceleration is 4.0 m/s², and its final velocity after traveling 10.0 m is approximately 8.94 m/s.
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