Physics Question

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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**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]
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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