A object of mass 3.00 kg is subject to a force F, that varies with position as in the figure below. Fx (N) 4 3 1 X (m) 2 4 6 8 10 12 14 16 18 20 (a) Find the work done by the force on the object as it moves from x = 0 to x = 4.00 m. Your response differs from the correct answer by more than 10%. Double check your calculations. J (b) Find the work done by the force on the object as it moves from x = 4.00 m to x = 12.0 m. (c) Find the work done by the force on the object as it moves from x = 12.0 m to x = 18.0 m. (d) If the object has a speed of 0.450 m/s at x = 0, find its speed at x = 4.00 m and its speed at x = 18.0 m. speed at x = 4.00 m m/s speed at x = 18.0 m m/s

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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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A 3.00 kg object is subject to a force \( F_x \) that varies with position as shown in the figure below.

**Graph Description:**
- This is a line graph with the y-axis labeled \( F_x \) (N) representing the force in newtons and the x-axis labeled \( x \) (m) representing position in meters.
- The graph line begins at (0,0), rises linearly to (4,4), remains constant at 4 N from \( x = 4 \) m to \( x = 12 \) m, and then decreases linearly to (18,0).

**Questions and Input Fields:**

(a) Find the work done by the force on the object as it moves from \( x = 0 \) to \( x = 4.00 \) m.
- Answer field: \( 6 \) J (Incorrect response, as indicated by an "X")
- Feedback: "Your response differs from the correct answer by more than 10%. Double check your calculations."

(b) Find the work done by the force on the object as it moves from \( x = 4.00 \) m to \( x = 12.0 \) m.
- Answer field: _____ J

(c) Find the work done by the force on the object as it moves from \( x = 12.0 \) m to \( x = 18.0 \) m.
- Answer field: _____ J

(d) If the object has a speed of 0.450 m/s at \( x = 0 \), find its speed at \( x = 4.00 \) m and its speed at \( x = 18.0 \) m.
- Answer fields:
  - Speed at \( x = 4.00 \) m: _____ m/s
  - Speed at \( x = 18.0 \) m: _____ m/s
Transcribed Image Text:A 3.00 kg object is subject to a force \( F_x \) that varies with position as shown in the figure below. **Graph Description:** - This is a line graph with the y-axis labeled \( F_x \) (N) representing the force in newtons and the x-axis labeled \( x \) (m) representing position in meters. - The graph line begins at (0,0), rises linearly to (4,4), remains constant at 4 N from \( x = 4 \) m to \( x = 12 \) m, and then decreases linearly to (18,0). **Questions and Input Fields:** (a) Find the work done by the force on the object as it moves from \( x = 0 \) to \( x = 4.00 \) m. - Answer field: \( 6 \) J (Incorrect response, as indicated by an "X") - Feedback: "Your response differs from the correct answer by more than 10%. Double check your calculations." (b) Find the work done by the force on the object as it moves from \( x = 4.00 \) m to \( x = 12.0 \) m. - Answer field: _____ J (c) Find the work done by the force on the object as it moves from \( x = 12.0 \) m to \( x = 18.0 \) m. - Answer field: _____ J (d) If the object has a speed of 0.450 m/s at \( x = 0 \), find its speed at \( x = 4.00 \) m and its speed at \( x = 18.0 \) m. - Answer fields: - Speed at \( x = 4.00 \) m: _____ m/s - Speed at \( x = 18.0 \) m: _____ m/s
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