The sports car has a mass of 2.0 Mg and accelerates at 6 m/s, starting from rest. (Figure 1) Part A If the drag resistance on the car due to the wind is Fp = (10v) N, where v is the velocity in m/s, determine the power supplied to the engine when t= 5 s. The engine has a running efficiency of e= 0.68. Express your answer to three significant figures and include the appropriate units. Value Units P= Submit Reguest Answer Provide Feedback

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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**Educational Content on Drag Resistance and Power Consumption in Cars**

**Problem Statement:**  
The sports car has a mass of 2.0 Mg and accelerates at 6 m/s², starting from rest. (Figure 1)

### Part A

**Question:**  
If the drag resistance on the car due to the wind is \( F_D = (10v) \, N \) where \( v \) is the velocity in m/s, determine the power supplied to the engine when \( t = 5 \) s. The engine has a running efficiency of \( ɛ = 0.68 \). Express your answer to three significant figures and include the appropriate units.

**Input Box for Answer:**
\[ P = \text{{Value}} \, \text{{Units}} \]

**Buttons Available:**
- **Submit Button:** To submit the answer.
- **Request Answer Button:** For requesting the correct answer.

**Feedback Section:**  
Below the input box, there is an option to provide feedback.

### Figure 1 Explanation
The figure depicts a red sports car with marked drag resistance due to wind \( F_D \) acting against its motion. The car appears to be accelerating forward from a stationary position, and arrows indicate the direction of the drag force. This visual serves to illustrate the forces acting on the car during acceleration.

**Detailed Analysis:**
To solve this problem, you will need to follow these steps:
1. Calculate the velocity \( v \) of the car at \( t = 5 \) seconds using the given acceleration.
2. Determine the drag resistance force \( F_D \) using the velocity.
3. Use the power formula to find the power required to overcome the drag resistance.
4. Incorporate the engine's efficiency to find the total power supplied to the engine. 

Make sure to carefully handle units and perform calculations to three significant figures for precision.
Transcribed Image Text:**Educational Content on Drag Resistance and Power Consumption in Cars** **Problem Statement:** The sports car has a mass of 2.0 Mg and accelerates at 6 m/s², starting from rest. (Figure 1) ### Part A **Question:** If the drag resistance on the car due to the wind is \( F_D = (10v) \, N \) where \( v \) is the velocity in m/s, determine the power supplied to the engine when \( t = 5 \) s. The engine has a running efficiency of \( ɛ = 0.68 \). Express your answer to three significant figures and include the appropriate units. **Input Box for Answer:** \[ P = \text{{Value}} \, \text{{Units}} \] **Buttons Available:** - **Submit Button:** To submit the answer. - **Request Answer Button:** For requesting the correct answer. **Feedback Section:** Below the input box, there is an option to provide feedback. ### Figure 1 Explanation The figure depicts a red sports car with marked drag resistance due to wind \( F_D \) acting against its motion. The car appears to be accelerating forward from a stationary position, and arrows indicate the direction of the drag force. This visual serves to illustrate the forces acting on the car during acceleration. **Detailed Analysis:** To solve this problem, you will need to follow these steps: 1. Calculate the velocity \( v \) of the car at \( t = 5 \) seconds using the given acceleration. 2. Determine the drag resistance force \( F_D \) using the velocity. 3. Use the power formula to find the power required to overcome the drag resistance. 4. Incorporate the engine's efficiency to find the total power supplied to the engine. Make sure to carefully handle units and perform calculations to three significant figures for precision.
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