A 60-kg person is traveling in a car moving at 16 m/s, when the car hits a barrier. The person is not wearing a seat belt, but is stopped by an air bag in a time interval of 0.20 s. Determine the average force that the air bag exerts on the person?

Question

4176 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-10-06T07:55:34

#vec F=-4800" "N#

#"Negative sign means opposite direction."#

#vec F* Delta t:"impulse"#
#m*Delta vec v:"change of momentum"#

#vec F* Delta t=m* Delta vec v#

#vec F:"Force"#

#Delta t:"Time interval. "(0.20 s)#

#m:"mass of person. "(60 kg)#

#Delta v=(v_f-v_i)#

#v_f:"final velocity of person. "(v_f=0)#

#v_i:"initial velocity of person. "(v_i=16" "m/s"#

#vec F*0.2=60(0-16)#

#vec F*0.2=60*(-16)#

#vec F*0.2=-960#

#vec F=-960/(0.20)#

#vec F=-4800" "N#