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?
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?
College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff6ed396a-58be-4ac0-9d00-206a35697371%2F7d61c62e-6c70-4b29-b7e1-a24210ca8a86%2Fqottsvs_processed.jpeg&w=3840&q=75)
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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