1. The problem statement, all variables and given/known data
Free-Falling Objects. Motion in One Dimension:
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 0.40 m above the floor. If the floor is hardwood, the child's head is brought to rest in approximately 2.0 mm. If the floor is carpeted this stopping distance is increased to about 1.0 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.
2. Relevant equations
3. The attempt at a solution
What does the 2.0 mm and 1.0 cm above mean? Does it mean the head bounces after hitting the floor?? I don't think we have even studied that yet. This is only the second week of the course. Thanks!
Free-Falling Objects. Motion in One Dimension:
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 0.40 m above the floor. If the floor is hardwood, the child's head is brought to rest in approximately 2.0 mm. If the floor is carpeted this stopping distance is increased to about 1.0 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.
2. Relevant equations
3. The attempt at a solution
What does the 2.0 mm and 1.0 cm above mean? Does it mean the head bounces after hitting the floor?? I don't think we have even studied that yet. This is only the second week of the course. Thanks!
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