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 g baseball strikes your head at 35 m/s and stops in 1.3×103 s , what is the magnitude of the ball's deceleration? 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? Enter yes or no.

Part E - Are you in danger of a fracture if the ball hits you in the cheek? Enter yes or no.

Explanation / Answer

a) a = change in speed/change in time = (0 - 35 m/s)/(1.3*10^(-3)) s = 2.69*10^4 m/s^2

b) force F = ma = (0.14 kg)*(2.69*10^4 m/s^2) = 3769 N = 3.77 kN

c) the magnitude of force that stops the baseball is equal to the force baseball apply to your head but direction is opposite,so

the force baseball apply to your head = 3.77 kN

d) NO. forehead can withstand a force of about 6.0 kN. and

3.77 kN < 6 kN

e) YES,because your cheekbone can only withstand about 1.3 kN and 3.77 kN > 1.3 kN.

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