A car is driving 72km/h get abruptly stopped within 100 ms by a head on collisio

Question

A car is driving 72km/h get abruptly stopped within 100 ms by a head on collision with another car . A baby of 12 kg on the child seat in the back of the car is fixed by a safety belt . What should be the elasticity ( spring constant ) of the belt material , so that it stretches not more than 5.0 cm during this collision ? A car is driving 72km/h get abruptly stopped within 100 ms by a head on collision with another car . A baby of 12 kg on the child seat in the back of the car is fixed by a safety belt . What should be the elasticity ( spring constant ) of the belt material , so that it stretches not more than 5.0 cm during this collision ?

Explanation / Answer

Given u= 72km/h = 20m/sec...... s= 100m...... v= 0 ....... v2 - u2    = 2as .... 0 - 400 = 2×a× 100 .. a = 2 m/ sec2....... ..F = k x .....ma = k x ... k = ma/ x ..=(12)(2)/ 0.05 = 480 N/m

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