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During a car crash, the forearms of a passenger are slammed against the dashboard.

Each arm comes to rest from an initial speed of 80 km/h in 5 ms. If the arm has an effective

mass of 3 kg and bone material can withstand a maximum compression stress of 16 x 107

Pa,

will the arms withstand the crash? (cross-section of calcified area of the two forearm bones,

ulna and radius, is approximately 2.4 cm2

)

F = m (deltav/ deltat)

Deltav = 80 km/h × [1000 (m/km) / 3,600 (s/hr)] = 22.2 m/s

Delta t = 5 ms = 5 × 10-3

s

Delta F = 3 kg × [22.2 (m/s) / 5 × 10^-3

s] = 1.33 × 10^4

N

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Q: What is the maximum bone material can withstand a maximum compression?
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