(c) Using your answer from the previous part, roughly how much kinetic energy (in Joules) was released when the plane hit the tower? How many tons of TNT would one have to detonate to release the same amount of energy? (d) If the airplane had been going twice as fast, how would this affect the amount of kinetic energy released?

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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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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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1. In this question we will estimate the energy released in the 9/11 terrorist attack
on the world trade center.
(a) A fully-laden Boeing 767 airplane weighs about 100 tons. How much is that
in kilograms?
(b) Explain which one of the following is the best estimate of the speed (in
meters/second) at which the airplane flew in to the world trade center: 10
m/s; 50 m/s; 200 m/s.
(c) Using your answer from the previous part, roughly how much kinetic energy
(in Joules) was released when the plane hit the tower? How many tons of
TNT would one have to detonate to release the same amount of energy?
(d) If the airplane had been going twice as fast, how would this affect the amount
of kinetic energy released?
(e) A Boeing 767 carries about 25 tons of jet fuel, whose chemical energy content
is similar to that of gasoline. If that fuel burned completely after the collision,
how much chemical energy in Joules was released? How many tons of TNT
is that equivalent to?
(f) Make a reasoned estimate of which had higher power, the release of kinetic
energy or the release of chemical energy.
Transcribed Image Text:1. In this question we will estimate the energy released in the 9/11 terrorist attack on the world trade center. (a) A fully-laden Boeing 767 airplane weighs about 100 tons. How much is that in kilograms? (b) Explain which one of the following is the best estimate of the speed (in meters/second) at which the airplane flew in to the world trade center: 10 m/s; 50 m/s; 200 m/s. (c) Using your answer from the previous part, roughly how much kinetic energy (in Joules) was released when the plane hit the tower? How many tons of TNT would one have to detonate to release the same amount of energy? (d) If the airplane had been going twice as fast, how would this affect the amount of kinetic energy released? (e) A Boeing 767 carries about 25 tons of jet fuel, whose chemical energy content is similar to that of gasoline. If that fuel burned completely after the collision, how much chemical energy in Joules was released? How many tons of TNT is that equivalent to? (f) Make a reasoned estimate of which had higher power, the release of kinetic energy or the release of chemical energy.
Expert Solution
Step 1: Mass of airplane and velocity:

text We know mass of airplane: end text
M equals 100 space t o n s

A n d space a s space 1 space t o n equals 1000 space k g

M equals 100 cross times 1000
space space space space equals 10 to the power of 5 space k g

text We know cruise speed of airplanes is between 150 to 250 m/s : end text

text So, correct option would be 200 m/s end text

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