3. For this series of 5 questions, a block is released from the position shown with a certain initial velocity. It then slides down the smooth (friction-less) path for which the function is given in the image. You will be asked to solve for different things. Please pay attention: the numbers may change from problem to problem since they are randomized. 4) If the block has mass of 65 kg and its initial velocity is 2.3 m/s (at x = 3 m), determine the normal force N which the path exerts on the block right before it reaches the spring (at x = 0). Your answer must include 1 place after the decimal point and the proper unit. Take g = 9.81 m/s². k = 5 kN/m puudu Your Answer: Answer units y = 0.25x² 3 m v X

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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**Educational Exercise: Physics Problem with a Block on a Frictionless Path**

**Problem 3: Physics Questions on a Frictionless Path**

For this series of 5 questions, a block is released from the position shown with a certain initial velocity. It then slides down the smooth (frictionless) path for which the function is given in the image. You will be asked to solve for different things. Please pay attention: the numbers may change from problem to problem since they are randomized.

4) If the block has a mass of 65 kg and its initial velocity is 2.3 m/s (at \( x = 3 \) m), determine the normal force \( N \) which the path exerts on the block right before it reaches the spring (at \( x = 0 \)). Your answer must include 1 place after the decimal point and the proper unit. Take \( g = 9.81 \, \text{m/s}^2 \).

---

**Diagram Explanation:**

- The diagram shows a block sliding on a frictionless path, which curves according to the equation \( y = 0.25x^2 \).
- There is a spring at \( x = 0 \) with a spring constant \( k = 5 \, \text{kN/m} \).
- The path is inclined and shifted along the x-axis, marked at a horizontal distance of 3 m from the starting point.
- A vector \( v \) indicates the velocity of the block as it slides down the path.

**Answer Section:**

- Your Answer: [Provide your calculated answer here]
- Units: [Provide the appropriate units]
Transcribed Image Text:**Educational Exercise: Physics Problem with a Block on a Frictionless Path** **Problem 3: Physics Questions on a Frictionless Path** For this series of 5 questions, a block is released from the position shown with a certain initial velocity. It then slides down the smooth (frictionless) path for which the function is given in the image. You will be asked to solve for different things. Please pay attention: the numbers may change from problem to problem since they are randomized. 4) If the block has a mass of 65 kg and its initial velocity is 2.3 m/s (at \( x = 3 \) m), determine the normal force \( N \) which the path exerts on the block right before it reaches the spring (at \( x = 0 \)). Your answer must include 1 place after the decimal point and the proper unit. Take \( g = 9.81 \, \text{m/s}^2 \). --- **Diagram Explanation:** - The diagram shows a block sliding on a frictionless path, which curves according to the equation \( y = 0.25x^2 \). - There is a spring at \( x = 0 \) with a spring constant \( k = 5 \, \text{kN/m} \). - The path is inclined and shifted along the x-axis, marked at a horizontal distance of 3 m from the starting point. - A vector \( v \) indicates the velocity of the block as it slides down the path. **Answer Section:** - Your Answer: [Provide your calculated answer here] - Units: [Provide the appropriate units]
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