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 × 10³ m/s²)t² – (8.0 × 104 m/s)t°. The object leaves the end of the barrel at t = 0.025 s. Part A How long must the gun barrel be? Express your answer in meters. ANSWER: L = m Part B What will be the speed of the objects as they leave the end of the barrel? Express your answer in meters per second. ANSWER: V = m/s Part C What net force must be exerted on a 1.50-kg object at t = 0? Express your answer in newtons. ANSWER: F = N Part D What net force must be exerted on a 1.50-kg object at t = 0.025 s? Express your answer in newtons. ANSWER: F =
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 × 10³ m/s²)t² – (8.0 × 104 m/s)t°. The object leaves the end of the barrel at t = 0.025 s. Part A How long must the gun barrel be? Express your answer in meters. ANSWER: L = m Part B What will be the speed of the objects as they leave the end of the barrel? Express your answer in meters per second. ANSWER: V = m/s Part C What net force must be exerted on a 1.50-kg object at t = 0? Express your answer in newtons. ANSWER: F = N Part D What net force must be exerted on a 1.50-kg object at t = 0.025 s? Express your answer in newtons. ANSWER: F =
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![### Studying the Impact of Bird Collisions on Aircraft
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:
\[ x = (9.0 \times 10^3 \, \text{m/s}^2) t^2 - (8.0 \times 10^4 \, \text{m/s}^3) t^3 \]
The object leaves the end of the barrel at \( t = 0.025 \, \text{s} \).
#### Part A
**How long must the gun barrel be?**
*Express your answer in meters.*
**Answer:**
\[ L = \_\_\_\_\_\_ \, \text{m} \]
#### Part B
**What will be the speed of the objects as they leave the end of the barrel?**
*Express your answer in meters per second.*
**Answer:**
\[ v = \_\_\_\_\_\_ \, \text{m/s} \]
#### Part C
**What net force must be exerted on a 1.50-kg object at \( t = 0 \)?**
*Express your answer in newtons.*
**Answer:**
\[ F = \_\_\_\_\_\_ \, \text{N} \]
#### Part D
**What net force must be exerted on a 1.50-kg object at \( t = 0.025 \, \text{s} \)?**
*Express your answer in newtons.*
**Answer:**
\[ F = \_\_\_\_\_\_ \, \text{N} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F74279ea1-eff5-4403-94c6-eaa833f0d034%2F46ef03b3-ce93-42b8-8831-41e32d1fdd94%2F0kifods.png&w=3840&q=75)
Transcribed Image Text:### Studying the Impact of Bird Collisions on Aircraft
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:
\[ x = (9.0 \times 10^3 \, \text{m/s}^2) t^2 - (8.0 \times 10^4 \, \text{m/s}^3) t^3 \]
The object leaves the end of the barrel at \( t = 0.025 \, \text{s} \).
#### Part A
**How long must the gun barrel be?**
*Express your answer in meters.*
**Answer:**
\[ L = \_\_\_\_\_\_ \, \text{m} \]
#### Part B
**What will be the speed of the objects as they leave the end of the barrel?**
*Express your answer in meters per second.*
**Answer:**
\[ v = \_\_\_\_\_\_ \, \text{m/s} \]
#### Part C
**What net force must be exerted on a 1.50-kg object at \( t = 0 \)?**
*Express your answer in newtons.*
**Answer:**
\[ F = \_\_\_\_\_\_ \, \text{N} \]
#### Part D
**What net force must be exerted on a 1.50-kg object at \( t = 0.025 \, \text{s} \)?**
*Express your answer in newtons.*
**Answer:**
\[ F = \_\_\_\_\_\_ \, \text{N} \]
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