Questions: The students drew a fee-body force diagram to represent the force acting on the marble after it had fallen 0.2 m in trial 1, as shown. Assume air resistance was negligible. Which of the following free-body force diagrams represents the force or forces acting on the marble after it had fallen 0.4 m?

The students drew a fee-body force diagram to represent the force acting on the marble after it had fallen 0.2 m in trial 1, as shown. Assume air resistance was negligible. Which of the following free-body force diagrams represents the force or forces acting on the marble after it had fallen 0.4 m?
Transcript text: The students drew a fee-body force diagram to represent the force acting on the marble after it had fallen 0.2 m in trial 1, as shown. Assume air resistance was negligible. Which of the following free-body force diagrams represents the force or forces acting on the marble after it had fallen 0.4 m?
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Solution

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Solution Steps

Step 1: Understand the Problem

The problem involves identifying the correct free-body force diagram for a marble that has fallen 0.4 meters, given that air resistance is negligible.

Step 2: Analyze the Given Information
  • The marble has fallen 0.2 meters in trial 1, and the force acting on it is represented by \( F_g \) (gravitational force).
  • Air resistance is negligible, meaning the only force acting on the marble is gravity.
Step 3: Identify the Correct Diagram

Since air resistance is negligible, the only force acting on the marble is the gravitational force \( F_g \). This force acts downward.

Final Answer

The correct free-body force diagram representing the force acting on the marble after it has fallen 0.4 meters is:

Option A: The diagram with a single downward arrow labeled \( F_g \).

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