During a car crash at a speed of 30 m/s, a driver with a mass of 60 kg is safely brought to a stop by an airbag in 0.5 seconds. How much force did the airbag absorb?
Question
During a car crash at a speed of 30 m/s, a driver with a mass of 60 kg is safely brought to a stop by an airbag in 0.5 seconds. How much force did the airbag absorb?
Solution
To solve this problem, we need to use the formula for force, which is mass times acceleration (F = m*a).
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First, we need to find the acceleration. Acceleration is the change in velocity over time. In this case, the driver goes from 30 m/s to 0 m/s in 0.5 seconds. So, the change in velocity is 30 m/s and the time is 0.5 seconds. Therefore, the acceleration is 30 m/s / 0.5 s = 60 m/s².
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Now that we have the acceleration, we can find the force. The driver's mass is 60 kg and the acceleration is 60 m/s². So, the force is 60 kg * 60 m/s² = 3600 N.
Therefore, the airbag absorbed 3600 Newtons of force.
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