Calculate the average force exerted on the driver by the seat belt

AI Thread Summary
To calculate the average force exerted on the driver by the seat belt during a collision, use the formula F = m(v - u)/t, where the driver’s mass is 85 kg, initial velocity is 24 m/s, and time to rest is 0.4 seconds. The resulting force can be compared to the driver's weight to determine the 'g-force' experienced, which is the ratio of the acceleration to gravitational acceleration. The discussion clarifies that 'g-force' is expressed as a multiple of the driver's weight, indicating the severity of the force experienced during the crash. Understanding these calculations is crucial for assessing the likelihood of serious injury from the collision. Accurate calculations can provide insights into the safety measures needed in vehicle design.
terainfizik
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Homework Statement


A car is involved in a collision when it is traveling at 24m/s. The driver , of mass 85kg, is brought to rest by the seat belt in a time of 400 ms . Calculate the average force exerted on the driver by the seat belt . Compare this force with his weight , and hence calculate the 'g-force' to which he's subjected by the crash, and comment on the likelihood of his sustaining serious injury.


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The Attempt at a Solution


Well, I' use F=m (v-u)/t to find the average force exerted on the driver, am I correct ? Second question , can I use formula of work done to calculate the 'g-force' ? Logically, is it impossible the 'g-force' means the potential energy stored in the car ? Guide me please .
 
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F = ma so you are on the right track with the first part. "g-force" just means the ratio of the acceleration to gravitational acceleration, which is the same as the ratio of force to weight. We commonly say a force is "7 Gs" if a force on an object is 7 times its weight.
 
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'g-force' , how 'd i calculate ?
 
terainfizik said:
'g-force' , how 'd i calculate ?

He just explained : g force is the ratio of acceleration to gravitational acceleration.


marlon
 
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