A object of mass 3.00 kg is subject to a force Fx that varies with position as in the figure below. Fx (N) 4 3 2 1 x (m) i (a) Find the work done by the force on the object as it moves from x = 0 to x = 4.00 m. 2 4 6 8 10 12 14 16 18 20
A object of mass 3.00 kg is subject to a force Fx that varies with position as in the figure below. Fx (N) 4 3 2 1 x (m) i (a) Find the work done by the force on the object as it moves from x = 0 to x = 4.00 m. 2 4 6 8 10 12 14 16 18 20
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Chapter1: Units, Trigonometry. And Vectors
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![**Transcription for Educational Website:**
An object of mass 3.00 kg is subject to a force \( F_x \) that varies with position, as shown in the figure below.
**Graph Description:**
- The y-axis represents the force \( F_x \) in Newtons (N), ranging from 0 to 4.
- The x-axis represents the position \( x \) in meters (m), ranging from 0 to 20.
**Force vs Position Graph:**
- From \( x = 0 \) to \( x = 2 \), the force linearly increases from 0 N to 2 N.
- From \( x = 2 \) to \( x = 4 \), the force remains constant at 2 N.
- From \( x = 4 \) to \( x = 10 \), the force gradually decreases to 1 N.
- From \( x = 10 \) to \( x = 17 \), the force decreases to 0 N.
**Questions:**
(a) Find the work done by the force on the object as it moves from \( x = 0 \) to \( x = 4.00 \, \text{m} \).
\[ \text{Answer: } \_\_\_\_ \, J \]
(b) Find the work done by the force on the object as it moves from \( x = 4.00 \, \text{m} \) to \( x = 10.0 \, \text{m} \).
\[ \text{Answer: } \_\_\_\_ \, J \]
(c) Find the work done by the force on the object as it moves from \( x = 10.0 \, \text{m} \) to \( x = 17.0 \, \text{m} \).
\[ \text{Answer: } \_\_\_\_ \, J \]
(d) If the object has a speed of \( 0.450 \, \text{m/s} \) at \( x = 0 \), find its speed at \( x = 4.00 \, \text{m} \) and its speed at \( x = 17.0 \, \text{m} \).
Speed at \( x = 4.00 \, \text{m} \): \[ \_\_\_\_ \](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2d158991-3671-4459-aef6-bd0615668acc%2F3c87f000-b324-4343-95e0-5268bd52d9eb%2Fyla2l8_processed.png&w=3840&q=75)
Transcribed Image Text:**Transcription for Educational Website:**
An object of mass 3.00 kg is subject to a force \( F_x \) that varies with position, as shown in the figure below.
**Graph Description:**
- The y-axis represents the force \( F_x \) in Newtons (N), ranging from 0 to 4.
- The x-axis represents the position \( x \) in meters (m), ranging from 0 to 20.
**Force vs Position Graph:**
- From \( x = 0 \) to \( x = 2 \), the force linearly increases from 0 N to 2 N.
- From \( x = 2 \) to \( x = 4 \), the force remains constant at 2 N.
- From \( x = 4 \) to \( x = 10 \), the force gradually decreases to 1 N.
- From \( x = 10 \) to \( x = 17 \), the force decreases to 0 N.
**Questions:**
(a) Find the work done by the force on the object as it moves from \( x = 0 \) to \( x = 4.00 \, \text{m} \).
\[ \text{Answer: } \_\_\_\_ \, J \]
(b) Find the work done by the force on the object as it moves from \( x = 4.00 \, \text{m} \) to \( x = 10.0 \, \text{m} \).
\[ \text{Answer: } \_\_\_\_ \, J \]
(c) Find the work done by the force on the object as it moves from \( x = 10.0 \, \text{m} \) to \( x = 17.0 \, \text{m} \).
\[ \text{Answer: } \_\_\_\_ \, J \]
(d) If the object has a speed of \( 0.450 \, \text{m/s} \) at \( x = 0 \), find its speed at \( x = 4.00 \, \text{m} \) and its speed at \( x = 17.0 \, \text{m} \).
Speed at \( x = 4.00 \, \text{m} \): \[ \_\_\_\_ \
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