Using a simply pulley a /rope system ,a crewman on an Arctic expediction is tryi

Question

Using a simply pulley a /rope system ,a crewman on an Arctic expediction is trying to lower a 5.39 kg crate the bothtom of a sleep ravine of height 26.3 meters The 60.9 kg crewman is being careful to lower the When the crate reaches acclerates towards the ground ,dragging the hapless crewman across the ice and toward the edge of the cliff If we assume the ice is perfectly slick(that is, no friction between the crewman and the will the slips and falls down? Assume also to hit ground before r the crewman slides over the slide of the cliff. At what speed will the crewman hit the bothtom of the ravine? (Assume no air friction.)

Explanation / Answer

magnitude of accn of man = magnitude of acc of block=A

on block

Mbg-T=MbA

on man

T=Mm*A

solving these

A=Mbg/(Mm+Mb)=0.797 m/s2

T=48.53 N

now s=14.6 m a=0.797

s=1/2*a*t2

on putting values

t= 6.05 sec

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