Physics for Scientists and Engineers
10th Edition
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter7: Energy Of A System
Section: Chapter Questions
Problem 41AP: You have a new internship, where you are helping to design a new freight yard for the train station...
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Question
![**Problem 7.68**
A compound bow in archery allows the user to hold the bowstring at full draw with considerably less force than the maximum force exerted by the string. The draw force as a function of the string position \(x\) for a particular compound bow is shown in **Figure 1**.
**Graph Explanation:**
The graph displays the relationship between the force \(f\) (in newtons) and the string position \(x\) (in meters).
- The x-axis represents the string position \(x\) ranging from 0 to 0.7 meters.
- The y-axis measures the force \(f\) ranging from 0 to 400 newtons.
The graph shows:
- The force increases linearly from 0 N at 0 m to about 350 N at 0.1 m.
- The force remains constant at 350 N between 0.1 m and 0.4 m.
- The force decreases linearly back to 0 N at 0.6 m.
**Part A**
How much work does the archer do on the bow in order to draw the string from \(x = 0\) to \(x = 0.60\) m?
Express your answer to three significant figures and include appropriate units.
[Input box for value and units]
**Part B**
If all of this work becomes the kinetic energy of a 0.080 kg arrow, what is the speed of the arrow?
Express your answer to two significant figures and include appropriate units.
[Input box for value and units]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F88cacd88-3592-49f7-9f6d-8aee94c936d3%2F9032fef8-ad14-4c09-9c56-525d0d8b1541%2Fdf7h6k_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem 7.68**
A compound bow in archery allows the user to hold the bowstring at full draw with considerably less force than the maximum force exerted by the string. The draw force as a function of the string position \(x\) for a particular compound bow is shown in **Figure 1**.
**Graph Explanation:**
The graph displays the relationship between the force \(f\) (in newtons) and the string position \(x\) (in meters).
- The x-axis represents the string position \(x\) ranging from 0 to 0.7 meters.
- The y-axis measures the force \(f\) ranging from 0 to 400 newtons.
The graph shows:
- The force increases linearly from 0 N at 0 m to about 350 N at 0.1 m.
- The force remains constant at 350 N between 0.1 m and 0.4 m.
- The force decreases linearly back to 0 N at 0.6 m.
**Part A**
How much work does the archer do on the bow in order to draw the string from \(x = 0\) to \(x = 0.60\) m?
Express your answer to three significant figures and include appropriate units.
[Input box for value and units]
**Part B**
If all of this work becomes the kinetic energy of a 0.080 kg arrow, what is the speed of the arrow?
Express your answer to two significant figures and include appropriate units.
[Input box for value and units]
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