Question

# A 80 kg man is parachuting and experiencing a downward acceleration of 2.5m/sec2 . mass of the parachute is 5 kg.what is the upward force on the parachute from air?what is the downward force on the parachute from the man?

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Solution

## $Followingaretheeqnofmotionofdownwardmotionofparachute,\phantom{\rule{0ex}{0ex}}\left(M+m\right)g-{F}_{up}=\left(M+m\right)a.\phantom{\rule{0ex}{0ex}}anddownwardforce=\left(M+m\right)\left(g-a\right)=\left(80+5\right)\left(9.8-2.5\right)=85×7.3=620.5N\phantom{\rule{0ex}{0ex}}downwardforce=620.5N.\phantom{\rule{0ex}{0ex}}Theupwardforceacting={F}_{up}=Mg=80×\left(10-2.5\right)=80×7.5=600N.\phantom{\rule{0ex}{0ex}}{F}_{up}=600N.$

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