Estimate the magnitude of the force, in Ibf, exerted on a 16-lb goose in a collision of duration 2 x 10-3s with an airplane taking off at 150 miles/h. Assume the bird's velocity is zero before the collision. Estimate the average acceleration magnitude, in ft/s2, of the goose in the collision. |a| ft/s2 %3D Estimate the magnitude of the force, in Ibf, exerted on the goose in the collision. |F| = Ibf
Estimate the magnitude of the force, in Ibf, exerted on a 16-lb goose in a collision of duration 2 x 10-3s with an airplane taking off at 150 miles/h. Assume the bird's velocity is zero before the collision. Estimate the average acceleration magnitude, in ft/s2, of the goose in the collision. |a| ft/s2 %3D Estimate the magnitude of the force, in Ibf, exerted on the goose in the collision. |F| = Ibf
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Nee help with these two homework problems.
![**Collision Between Goose and Airplane: Estimation Practice**
### Problem Statement:
Estimate the magnitude of the force, in lbf (pounds-force), exerted on a 16-lb goose in a collision of duration \(2 \times 10^{-3}\) s with an airplane taking off at 150 miles/h. Assume the bird's velocity is zero before the collision.
### Tasks:
#### Task 1: Estimate the Average Acceleration Magnitude
1. **Question:** Estimate the average acceleration magnitude, in ft/s², of the goose in the collision.
2. **Input Field:**
\[
\left| a \right| = \_\_\_\_\_\_\_\_\_
\]
ft/s²
#### Task 2: Estimate the Magnitude of the Force
1. **Question:** Estimate the magnitude of the force, in lbf, exerted on the goose in the collision.
2. **Input Field:**
\[
\left| F \right| = \_\_\_\_\_\_\_\_\_
\]
lbf](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F988321fe-2fa3-453d-a72b-be5ece348fb5%2F22050f25-eb1b-47de-83a5-fd9523b09cdf%2Fn3gzd16_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Collision Between Goose and Airplane: Estimation Practice**
### Problem Statement:
Estimate the magnitude of the force, in lbf (pounds-force), exerted on a 16-lb goose in a collision of duration \(2 \times 10^{-3}\) s with an airplane taking off at 150 miles/h. Assume the bird's velocity is zero before the collision.
### Tasks:
#### Task 1: Estimate the Average Acceleration Magnitude
1. **Question:** Estimate the average acceleration magnitude, in ft/s², of the goose in the collision.
2. **Input Field:**
\[
\left| a \right| = \_\_\_\_\_\_\_\_\_
\]
ft/s²
#### Task 2: Estimate the Magnitude of the Force
1. **Question:** Estimate the magnitude of the force, in lbf, exerted on the goose in the collision.
2. **Input Field:**
\[
\left| F \right| = \_\_\_\_\_\_\_\_\_
\]
lbf
![### Thermodynamics: Work Calculation in a Piston-Cylinder Assembly
A gas contained within a piston-cylinder assembly undergoes three processes in series:
1. **Process 1–2:**
- **Description:** Constant volume
- **Initial State:** \( p_1 = 1 \) bar, \( V_1 = 6 \) m³
- **Final State:** \( p_2 = 2 \) bar
2. **Process 2–3:**
- **Description:** Compression to \( V_3 = 2.5 \) m³
- **Relationship:** Pressure-volume relationship is \( pV = \text{constant} \).
3. **Process 3–4:**
- **Description:** Constant pressure
- **Final State:** \( V_4 = 1 \) m³
### Objective
Determine the work for each process, in kJ.
### Detailed Calculation
Below are the steps to calculate the work done in each process, represented by \( W_{12} \), \( W_{23} \), and \( W_{34} \).
#### Process 1–2: (\( W_{12} \))
- Based on the problem statement, the volume remains constant. As there is no change in volume:
\[ W_{12} = 0 \text{ kJ} \]
#### Process 2–3: (\( W_{23} \))
- Given the relationship \( pV = \text{constant} \), and knowing volumes \( V_2 \) and \( V_3 \), use this relationship to find the work for an isothermal process:
\[ W_{23} = \int_{V_2}^{V_3} p \, dV = p_2 V_2 \ln\left(\frac{V_3}{V_2}\right) \]
#### Process 3–4: (\( W_{34} \))
- Since pressure is constant:
\[ W_{34} = p_3 (V_4 - V_3) \]
### Data Entry Points
To assist in quick data inputs for calculations, use the forms provided. Fill in the values:
### Process 1–2:
\[ W_{12} = \ldots \text{ kJ} \]
### Process 2–3:
\[ W_{23} = \ldots \text](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F988321fe-2fa3-453d-a72b-be5ece348fb5%2F22050f25-eb1b-47de-83a5-fd9523b09cdf%2Ftddvc8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Thermodynamics: Work Calculation in a Piston-Cylinder Assembly
A gas contained within a piston-cylinder assembly undergoes three processes in series:
1. **Process 1–2:**
- **Description:** Constant volume
- **Initial State:** \( p_1 = 1 \) bar, \( V_1 = 6 \) m³
- **Final State:** \( p_2 = 2 \) bar
2. **Process 2–3:**
- **Description:** Compression to \( V_3 = 2.5 \) m³
- **Relationship:** Pressure-volume relationship is \( pV = \text{constant} \).
3. **Process 3–4:**
- **Description:** Constant pressure
- **Final State:** \( V_4 = 1 \) m³
### Objective
Determine the work for each process, in kJ.
### Detailed Calculation
Below are the steps to calculate the work done in each process, represented by \( W_{12} \), \( W_{23} \), and \( W_{34} \).
#### Process 1–2: (\( W_{12} \))
- Based on the problem statement, the volume remains constant. As there is no change in volume:
\[ W_{12} = 0 \text{ kJ} \]
#### Process 2–3: (\( W_{23} \))
- Given the relationship \( pV = \text{constant} \), and knowing volumes \( V_2 \) and \( V_3 \), use this relationship to find the work for an isothermal process:
\[ W_{23} = \int_{V_2}^{V_3} p \, dV = p_2 V_2 \ln\left(\frac{V_3}{V_2}\right) \]
#### Process 3–4: (\( W_{34} \))
- Since pressure is constant:
\[ W_{34} = p_3 (V_4 - V_3) \]
### Data Entry Points
To assist in quick data inputs for calculations, use the forms provided. Fill in the values:
### Process 1–2:
\[ W_{12} = \ldots \text{ kJ} \]
### Process 2–3:
\[ W_{23} = \ldots \text
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