Traumatic brain injury such as concussion results when the head undergoes a very large acceleration. Generally, an acceleration less than 800 m/s² lasting for any length of time will not cause injury, whereas an acceleration greater than 1,000 m/s² lasting for at least 1 ms will cause injury. Suppose a small child rolls off a bed that is 0.42 m above the floor. If the floor is hardwood, the child's head is brought to rest in approximately 2.2 mm. If the floor is carpeted, this stopping distance is increased to about 1.4 cm. Calculate the magnitude and duration of the deceleration in both cases, to determine the risk of injury. Assume the child remains horizontal during the fall to the floor. Note that a more complicated fall could result in a head velocity greater or less than the speed you calculate. hardwood floor magnitude m/s² hardwood floor duration carpeted floor magnitude carpeted floor duration ms m/s2 ms

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Traumatic brain injury such as concussion results when the head undergoes a very large acceleration. Generally, an acceleration less than
800 m/s² lasting for any length of time will not cause injury, whereas an acceleration greater than 1,000 m/s² lasting for at least 1 ms will
cause injury. Suppose a small child rolls off a bed that is 0.42 m above the floor. If the floor is hardwood, the child's head is brought to rest in
approximately 2.2 mm. If the floor is carpeted, this stopping distance is increased to about 1.4 cm. Calculate the magnitude and duration of
the deceleration in both cases, to determine the risk of injury. Assume the child remains horizontal during the fall to the floor. Note that a
more complicated fall could result in a head velocity greater or less than the speed you calculate.
hardwood floor magnitude
m/s²
hardwood floor duration
carpeted floor magnitude
carpeted floor duration
Need Help?
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ms
m/s²
ms
Transcribed Image Text:Traumatic brain injury such as concussion results when the head undergoes a very large acceleration. Generally, an acceleration less than 800 m/s² lasting for any length of time will not cause injury, whereas an acceleration greater than 1,000 m/s² lasting for at least 1 ms will cause injury. Suppose a small child rolls off a bed that is 0.42 m above the floor. If the floor is hardwood, the child's head is brought to rest in approximately 2.2 mm. If the floor is carpeted, this stopping distance is increased to about 1.4 cm. Calculate the magnitude and duration of the deceleration in both cases, to determine the risk of injury. Assume the child remains horizontal during the fall to the floor. Note that a more complicated fall could result in a head velocity greater or less than the speed you calculate. hardwood floor magnitude m/s² hardwood floor duration carpeted floor magnitude carpeted floor duration Need Help? Read It ms m/s² ms
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