A person in a car during a sudden stop can experience potentially serious chest

Question

A person in a car during a sudden stop can experience potentially serious chest injuries if the combined force exerted by the seat belt and shoulder strap exceeds 16,000 N. Assume the mass of passenger is 80 kg and initial speed of car is 16 m/s.

Part A

Determine required minimum stopping time interval to avoid injury.

Express your answer to two significant figures and include the appropriate units.

Part B

Determine the corresponding stopping distance.

Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

the combined force exerted by the seat belt and shoulder strap exceeds 16,000 N

F=16000N

80*16/T =16000

PART A)

T=0.08seconds

PART B)

V=U+at

intial velocity=0

a=16/0.08

=200m/s2

stopping distance=0.5at2

=0.5*200*0.082

=0.64m

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