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CALC To study damage to aircraft that collide with large

Problem 45P Chapter 4

University Physics | 13th Edition

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University Physics | 13th Edition

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Problem 45P

CALC? To study damage to aircraft that collide with large birds, you design a test gun that will accelerate chicken-sized objects so that their displacement along the gun barrel is given by x = (9.0 X 103 m/s2)t2 – (8.0 X 104 m/s3)t3. The object leaves the end of the barrel at t = 0.025 s. (a) How long must the gun barrel be? (b) What will be the speed of the objects as they leave the end of the barrel? (c) What net force must be exerted on a 1.50-kg object at (i) t = 0 and (ii) t = 0.025 s?

Step-by-Step Solution:

Solution 45P Step 1: The displacement along the gun barrel (x) = (9.0x10 m/s )t (8.0x10 m/s )t 4 3 3 Time taken by the object to leave the barrel (t) = 0.025s Problem (a) Step 1: Length of the barrel = x(0.025) 3 2 4 3 = 9x10 * (0.025) 8x10 * (0.025) = 5.625-1.25 Length of the barrel = 4.375 m Problem (b) Step 1: Speed of the object = dx dt 3 4 2 v = 18x10 t 24x10 t Step 2: Time it takes to leave the barrel = 0.025s v = 18x10 (0.025) 24x10 ( 0.025 ) 2 v = 450-150 v = 300 m/s Problem (c) To find the net force on the object Step 1: dv Acceleration (a) = dt a = 18x10 48x10 t 4 Step 2: At t = 0s 3 4 a = 18x10 48x10 (0) 3 2 a = 18x10 m/s Step 3: At t = 0.025s 3 4 a = 18x10 48x10 (0.025) 3 a = 6x10 m/s 2

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ISBN: 9780321675460

This textbook survival guide was created for the textbook: University Physics, edition: 13. This full solution covers the following key subjects: barrel, gun, must, Object, objects. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. Since the solution to 45P from 4 chapter was answered, more than 509 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 45P from chapter: 4 was answered by Patricia, our top Physics solution expert on 05/06/17, 06:07PM. University Physics was written by Patricia and is associated to the ISBN: 9780321675460. The answer to “CALC? To study damage to aircraft that collide with large birds, you design a test gun that will accelerate chicken-sized objects so that their displacement along the gun barrel is given by x = (9.0 X 103 m/s2)t2 – (8.0 X 104 m/s3)t3. The object leaves the end of the barrel at t = 0.025 s. (a) How long must the gun barrel be? (b) What will be the speed of the objects as they leave the end of the barrel? (c) What net force must be exerted on a 1.50-kg object at (i) t = 0 and (ii) t = 0.025 s?” is broken down into a number of easy to follow steps, and 103 words.

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