The National Transportation Safety Board is testing the crash-worthiness of a new car. The 2350 kg vehicle, moving at 19.8 m/s, is allowed to collide with a bridge abutment, which stops it in 0.679 s. What is the magnitude of the average force that acts on the car during the impact?

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**Crash Test Analysis by the National Transportation Safety Board**

The National Transportation Safety Board is conducting a test to determine the crash-worthiness of a new vehicle. Key parameters for this test include:

- **Vehicle Mass**: 2350 kg
- **Initial Velocity**: 19.8 m/s 
- **Collision Object**: Bridge abutment
- **Time to Stop**: 0.679 seconds

The objective is to calculate the magnitude of the average force exerted on the car during the impact. 

**Concept**: The force can be determined using the formula derived from Newton's second law: 

\[ F = \frac{{m \times \Delta v}}{\Delta t} \]

where:
- \( F \) is the average force
- \( m \) is the mass of the object (2350 kg)
- \( \Delta v \) is the change in velocity (from 19.8 m/s to 0 m/s)
- \( \Delta t \) is the time duration of the impact (0.679 s)

This analysis allows us to understand the impact dynamics and assess the safety features of the vehicle design.
Transcribed Image Text:**Crash Test Analysis by the National Transportation Safety Board** The National Transportation Safety Board is conducting a test to determine the crash-worthiness of a new vehicle. Key parameters for this test include: - **Vehicle Mass**: 2350 kg - **Initial Velocity**: 19.8 m/s - **Collision Object**: Bridge abutment - **Time to Stop**: 0.679 seconds The objective is to calculate the magnitude of the average force exerted on the car during the impact. **Concept**: The force can be determined using the formula derived from Newton's second law: \[ F = \frac{{m \times \Delta v}}{\Delta t} \] where: - \( F \) is the average force - \( m \) is the mass of the object (2350 kg) - \( \Delta v \) is the change in velocity (from 19.8 m/s to 0 m/s) - \( \Delta t \) is the time duration of the impact (0.679 s) This analysis allows us to understand the impact dynamics and assess the safety features of the vehicle design.
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