PRACTICE ANOTHER A woman fires a rifle with barrel length of 0.6600 m. Let (0, 0) be where the 50g bullet begins to move, and the bullet travels in the +x-direction. The force exerted by the expanding gas on the bullet Is (17,000 + 10,000x - 26,000x) N, where x is in meters. (a) Calculate the work done (in kJ) by the gas on the bullet as the bullet travels the length of the barrel. (Enter your answer to at least two decimal places.) It seems like you substituted 0.6600 m for x in the force equation. Recall that W= dr. You can calculate the work done by integrating the given function, from x = 0 to x - 0.6600 m. kJ (b) If the barrel is 1.040 m long, how much work (in kJ) is done? (Enter your answer to at least two decimal places.) kJ (c) How does this value compare with the work calculated in part (a)? The work is greater by %.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**Problem Statement:**

A woman fires a rifle with a barrel length of 0.6600 m. Let (0, 0) be where the 50 g bullet begins to move, and the bullet travels in the +x-direction. The force exerted by the expanding gas on the bullet is \( (17,000 + 10,000x - 26,000x^2) \, \text{N} \), where \( x \) is in meters.

**Question (a):**  
Calculate the work done (in kJ) by the gas on the bullet as the bullet travels the length of the barrel. (Enter your answer to at least two decimal places.)

[Input box] 

*Error Message:*  
It seems like you substituted 0.6600 m for \( x \) in the force equation. Recall that \( W = \int F \cdot dr \). You can calculate the work done by integrating the given function, from \( x = 0 \) to \( x = 0.6600 \, \text{m} \). kJ

**Question (b):**  
If the barrel is 1.040 m long, how much work (in kJ) is done? (Enter your answer to at least two decimal places.)

[Input box] kJ

**Question (c):**  
How does this value compare with the work calculated in part (a)?

*Statement:*  
The work is greater by [Input box] %.
Transcribed Image Text:**Problem Statement:** A woman fires a rifle with a barrel length of 0.6600 m. Let (0, 0) be where the 50 g bullet begins to move, and the bullet travels in the +x-direction. The force exerted by the expanding gas on the bullet is \( (17,000 + 10,000x - 26,000x^2) \, \text{N} \), where \( x \) is in meters. **Question (a):** Calculate the work done (in kJ) by the gas on the bullet as the bullet travels the length of the barrel. (Enter your answer to at least two decimal places.) [Input box] *Error Message:* It seems like you substituted 0.6600 m for \( x \) in the force equation. Recall that \( W = \int F \cdot dr \). You can calculate the work done by integrating the given function, from \( x = 0 \) to \( x = 0.6600 \, \text{m} \). kJ **Question (b):** If the barrel is 1.040 m long, how much work (in kJ) is done? (Enter your answer to at least two decimal places.) [Input box] kJ **Question (c):** How does this value compare with the work calculated in part (a)? *Statement:* The work is greater by [Input box] %.
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