A new missile is being developed with the goal of fooling enemy interceptor missiles. The idea is this: the missile will carry on-board sensors that will detect enemy missiles attempting to intercept it. At the appropriate time, an internal explosive will detonate, causing the missile to separate into an inert lower half (B), and an upper half (A) carrying the payload. In order to be effective, part B will need to be significantly larger and heavier than part A to fool an intercepting missile into tracking it, rather than tracking the payload. Initial prototypes have part B at 10,000 kg, and part A at 1,000 kg. During a live test it was observed that at an initial velocity vo = 1500 m/s and approach angle 80 = 25°, immediately after the internal explosive detonation, part B dropped straight down at VB = 1450 m/s. Unfortunately the prototype worked too well, and field sensors were not able to track part A after the explosion. Determine the following: (a) What was the velocity VA and approach angle 8, immediately after the explosion? (b) Based on data from other sensors at the testing site, you know that the explosion produced 10,000 MJ of energy in light, sound, and heat. What was the total potential energy of the explosive material? Sound Vo VB Heat VA

Precision Machining Technology (MindTap Course List)
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Author:Peter J. Hoffman, Eric S. Hopewell, Brian Janes
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A new missile is being developed with the goal of fooling enemy interceptor missiles. The idea is
this: the missile will carry on-board sensors that will detect enemy missiles attempting to
intercept it. At the appropriate time, an internal explosive will detonate, causing the missile to
separate into an inert lower half (B), and an upper half (A) carrying the payload. In order to be
effective, part B will need to be significantly larger and heavier than part A to fool an intercepting
missile into tracking it, rather than tracking the payload. Initial prototypes have part B at 10,000
kg, and part A at 1,000 kg. During a live test it was observed that at an initial velocity vo = 1500
m/s and approach angle 8, = 25°, immediately after the internal explosive detonation, part B
dropped straight down at ve = 1450 m/s. Unfortunately the prototype worked too well, and field
sensors were not able to track part A after the explosion. Determine the following:
(a) What was the velocity VA and approach angle 8, immediately after the explosion?
(b) Based on data from other sensors at the testing site, you know that the explosion
produced 10,000 MJ of energy in light, sound, and heat. What was the total potential
energy of the explosive material?
Sound
$70
Vo
Heat
VB
val
VA
/gr
Transcribed Image Text:A new missile is being developed with the goal of fooling enemy interceptor missiles. The idea is this: the missile will carry on-board sensors that will detect enemy missiles attempting to intercept it. At the appropriate time, an internal explosive will detonate, causing the missile to separate into an inert lower half (B), and an upper half (A) carrying the payload. In order to be effective, part B will need to be significantly larger and heavier than part A to fool an intercepting missile into tracking it, rather than tracking the payload. Initial prototypes have part B at 10,000 kg, and part A at 1,000 kg. During a live test it was observed that at an initial velocity vo = 1500 m/s and approach angle 8, = 25°, immediately after the internal explosive detonation, part B dropped straight down at ve = 1450 m/s. Unfortunately the prototype worked too well, and field sensors were not able to track part A after the explosion. Determine the following: (a) What was the velocity VA and approach angle 8, immediately after the explosion? (b) Based on data from other sensors at the testing site, you know that the explosion produced 10,000 MJ of energy in light, sound, and heat. What was the total potential energy of the explosive material? Sound $70 Vo Heat VB val VA /gr
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