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
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**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
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
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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