Average force to keep something in place during an automobile crash?

AI Thread Summary
To determine the average force a mother must exert to hold a 10 kg baby during a crash, one must apply Newton's second law, considering the deceleration from 50 km/h to 0 in 0.1 seconds. The necessary deceleration can be calculated, and with the mass of the baby known, the force can be derived. The discussion emphasizes focusing on the baby’s motion rather than the car's collision details. The importance of impulse and momentum change is also highlighted in solving the problem. Overall, the calculations indicate that the force required may exceed what the mother can realistically exert.
katiecrapps
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Homework Statement



Suppose that a seat-belted mother riding in an automobile holds a 10 kg baby in her arms. the automobile crashes and decelerates from 50km/h to 0 in .1 s. what average force would the mother have to exert on the baby to hold it?? do you think she can do this?

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The Attempt at a Solution



I think that you would use the elastic collision equation to solve this but I'm not entirely sure... I'm not very good at solving problems where you convert different equations into something else.
 
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Have you learned about Impulse yet (change in momentum)?

What is force a product of? What's given to you in this problem? Focus on the baby rather than the car's collision, you aren't given any information about the object that the car collides with.
 
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You can use Newton's second law to solve this problem Katie.
 
You can use Newton's second law to solve this problem Katie.
 
The problem statement gives an initial velocity U for the baby. You would hope that after time t the final velocity V is zero (otherwise the car will have stopped but baby is still moving and will impact the dash). So you have enough info to work out the deceleration required.

If the mass and deceleration are known you can calculate the force required to achieve it.
 
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