Your forehead can withstand a force of about 6.0 kN before fracturing, while you

Question

Your forehead can withstand a force of about 6.0 kN before fracturing, while your cheekbone can only withstand about 1.3 kN .

Part A -

If a 140 baseball strikes your head at 39 m/s and stops in 1.2 x 10^-3s , what is the magnitude of the ball's acceleration? Express your answer using two significant figures

Part B -

What is the magnitude of the force that stops the baseball? Express your answer using two significant figures

Part C -

What force does the baseball apply to your head? Express your answer using two significant figures

Part D -

Are you in danger of a fracture if the ball hits you in the forehead? Yes/No

Paet E-

Are you in danger of a fracture if the ball hits you in the cheek? Yes/No

Your forehead can withstand a force of about 6.0 kN before fracturing, while your cheekbone can only withstand about 1.3 kN . If a 140 baseball strikes your head at 39 m/s and stops in 1.2 x 10^-3s , what is the magnitude of the ball's acceleration? What is the magnitude of the force that stops the baseball? What force does the baseball apply to your head? Are you in danger of a fracture if the ball hits you in the forehead? Are you in danger of a fracture if the ball hits you in the cheek?

Explanation / Answer

a)acceleration=change in velocity/change in time=39/1.2 x 10^-3=32500m/s^2

b)force=m*a=0.140*32500=4.55 KN

c)since this will be equal and opposite force....4.55KN in opposite direction

d)No,since 4.55<6KN

e)Yes,since 4.55>1.3KN

happy to help!!

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