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A boy of mass 60.0 kg is rescued from a hotel fire by leapinginto a firefighters

ID: 1722161 • Letter: A

Question

A boy of mass 60.0 kg is rescued from a hotel fire by leapinginto a firefighters' net. The window from which he leapt was 8.0 mabove the net. The firefighters lower their arms as he lands in thenet so that he is brought to a complete stop in a time of 0.40s. a) What is his change in momentum during the 0.40 sinterval? b) What is the impulse on the net due to the boy during theinterval? [Hint: Do not ignore gravity.] c) What is the average force on the net due to the boy duringthe interval? A boy of mass 60.0 kg is rescued from a hotel fire by leapinginto a firefighters' net. The window from which he leapt was 8.0 mabove the net. The firefighters lower their arms as he lands in thenet so that he is brought to a complete stop in a time of 0.40s. a) What is his change in momentum during the 0.40 sinterval? b) What is the impulse on the net due to the boy during theinterval? [Hint: Do not ignore gravity.] c) What is the average force on the net due to the boy duringthe interval?

Explanation / Answer

   Given that     mass m = 60.0 kg    h = 8.0 m     t = 0.40s --------------------------------------- We know that           v2- u2 = 2gh                       Here u =0       v =(2gh)     So u = -v           and u =0 a) The change in momentum during the 0.40 sinterval is                      P = m (v -u)                           = m ((2gh)) b)   The impulse on the net = change inmomentum                                         = m ((2gh)) c)   The  average force on the net due tothe boy during the interval is                     F = P/t Substitute the values.