traumatic brain injury such as concussion results when thehead undergoes a very
ID: 1664503 • Letter: T
Question
traumatic brain injury such as concussion results when thehead undergoes a very large acceleration. Generally, anacceleration less than 800m/s2 lasting for anylength of time will not cause injury. Suppose a small childrolls off a bed that is 0.41m above the floor. If the flooris hardwood, the child's head is brought to rest in approximately2.1 mm. If the floor is carpeted, this stopping distance isincreased to about 1.0 cm.. Calculate the magnitude and duration ofthe deceleration in both cases, to determine the risk ofinjury. Assume that the child remains horizontal during thefall to the floor. Note that a more complicated fall couldresult in a head velocity greater or less than the speed youcalculate. Hardwood floor magnitude___________ m/s2 duration _______ms Carpeted floor magnitude _____________m/s2 duration_______ms. Thank YOU!!!!! FOR HELPING ME!!!!! traumatic brain injury such as concussion results when thehead undergoes a very large acceleration. Generally, anacceleration less than 800m/s2 lasting for anylength of time will not cause injury. Suppose a small childrolls off a bed that is 0.41m above the floor. If the flooris hardwood, the child's head is brought to rest in approximately2.1 mm. If the floor is carpeted, this stopping distance isincreased to about 1.0 cm.. Calculate the magnitude and duration ofthe deceleration in both cases, to determine the risk ofinjury. Assume that the child remains horizontal during thefall to the floor. Note that a more complicated fall couldresult in a head velocity greater or less than the speed youcalculate. Hardwood floor magnitude___________ m/s2 duration _______ms Carpeted floor magnitude _____________m/s2 duration_______ms. Thank YOU!!!!! FOR HELPING ME!!!!!Explanation / Answer
Let v be the velocity of the head of the child right before it hitthe ground v=sqrt(2gh)=2,83(m/s) Let a1 and a2 be the average velocity of the head when it hit theground and then stop.(hard wood and carpeted) v^2=2a1*g so a1=v^2/2l=2gh/2l=g*h/l so a1=9,8 * 0,41m/2,1mm=1913(m/s^2)(hardwood) a2=9,8*0,41m/1cm=401(m/s^2)(Carpet) t1=v/a1=1,5*10^-3(s) t2=v/a2=7,1*10^-3(s)
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