Answer to Question #117764 in Mechanics | Relativity for Yasmin

Question #117764
you are in a card accident. your head had an initial speed of 14.4m/s when it hits an airbag which brings it to rest in 0.38s. if your head has a mass if 8.5kg, find the force on your head during the collision
1
Expert's answer
2020-05-25T11:00:00-0400

According to the Newton's second law, the force during the collision will be:


"F = \\dfrac{\\Delta p}{\\Delta t}"

where "\\Delta p" is changing in the head's momentum during the time "\\Delta t".

The initial momentum was "p_{start} = mv = 8.5\\cdot 14.4 \\space kg\\cdot m\/s= 122.4 \\space kg\\cdot m\/s", the final momentum "p_{end} = 0". Thus:


"F = \\dfrac{122.4}{0.37}N \\approx 331 N"

Answer. F = 331 N.


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