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 %.

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Chapter8: Potential Energy And Conservation Of Energy
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A woman fires a rifle with 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 – 26,000x2) 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
%.
Transcribed Image Text:A woman fires a rifle with 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 – 26,000x2) 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 %.
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