1)compare the average force experienced by a 60 kg person moving at 34 km/h bein

Question

1)compare the average force experienced by a 60 kg person moving at 34 km/h being stopped at a distance of 2 cm in one case or (padded dashboard) 40 cm in the other case (the effective distance due to the crumple zone and airbag).

2) If a pressure sensor were incorporated in the experiment, a similar profile to the force impulse should be recorded. Since no crumple zone is included, the air bag must dissipate all the energy in the collision. If p is the overpressure during the collision and V is the volume of vented air, the dissipated energy should be given by the integral:
p dV
Which would be the area under the pressure vs volume graph. Choose the air bag colision with highest initial velocity. Assume all kinetic energy is dissipated by the air bag and the average overpressure is 850 pascal. what volume of air (m^3) was pushed out of the bag?

Explanation / Answer

34 km/hr = 9.44 m/s vf^2 = vi^2 + 2ad 0^2 = (9.44m/s)^2 + 2 (a) (.02 m) a = 2229.94 m/s^2 (for padded dashboard) f = ma f = (60kg) (2229.94m/s^2) f = 133796N 0^2 = (9.44m/s)^2 + 2 (a) (.40m) a = 111.50 m/s^2 (for air bag) f = ma f = (60kg) (111.50m/s^2) f = 6689.8N K = 1/2 m v^2 K = 1/2 (60kg) (9.44m/s)^2 K = 2675.93 J E = p dV 2675.93 N*m = (850 N/m^2) (dV) dV =3.148 m^3

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