A woman fires a rifle with barrel length of 0.5400 m. Let (o, 0) be where the 75 g bullet begins to move, and the bullet travels in the +x-direction. The force exerted by the expanding gas on the bullet is (16,000 + 10,000x - 26,000x2) 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.) kJ (b) If the barrel is 1.100 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 %.

A woman fires a rifle with barrel length of 0.5400 m. Let (o, 0) be where the 75 g bullet begins to move, and the bullet travels in the +x-direction. The force exerted by the expanding gas on the bullet is (16,000 + 10,000x - 26,000x2) 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.) kJ (b) If the barrel is 1.100 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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Question

A woman fires a rifle with a barrel length of 0.5400 m. Let (0, 0) be where the 75 g bullet begins to move, and the bullet travels in the +x-direction. The force exerted by the expanding gas on the bullet is \( (16{,}000 + 10{,}000x - 26{,}000x^2) \) 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.)

[Answer box] kJ

(b) If the barrel is 1.100 m long, how much work (in kJ) is done? (Enter your answer to at least two decimal places.)

[Answer box] kJ

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

The work is greater by [Answer box] %.

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