Your forehead can withstand a force of about 6.0 kN before fracturing, while your cheekbone can withstand only about 1.3 kN. Suppose a 140 g baseball traveling at 40 m/s strikes your head at an angle of 20 degrees from the horizontal. The forehead can undergo a displacement of roughly about 0.75mm before a fracture and the cheekbone only about 0.2mm. What is the magnitude of the force that stops the baseball? What force does the baseball exert on your head? Explain. Are you in danger of a fracture if the ball hits you in the forehead? On the cheek? What is the time interval necessary for either the forehead or cheek bone to break based on the forces stated

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter9: Dynamics Of A System Of Particles
Section: Chapter Questions
Problem 9.60P
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Your forehead can withstand a force of about 6.0 kN before fracturing, while your cheekbone can withstand only about 1.3 kN. Suppose a 140 g baseball traveling at 40 m/s strikes your head at an angle of 20 degrees from the horizontal. The forehead can undergo a displacement of roughly about 0.75mm before a fracture and the cheekbone only about 0.2mm.

  1. What is the magnitude of the force that stops the baseball?
  2. What force does the baseball exert on your head? Explain.
  3. Are you in danger of a fracture if the ball hits you in the forehead? On the cheek?
  4. What is the time interval necessary for either the forehead or cheek bone to break based on the forces stated?
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