Using a simple pulley and rope system, a т, crewman on an Arctic expedition is trying to frictionless lower a crate of mass mị 5.13 kg to the bottom of a steep ravine of height H 25.4 m. The 60.9 kg is walking while crewman of mass m2 т holding the rope, being careful to lower the crate at a constant speed of vo Н 1.50 m/s. Unfortunately, when the crate reaches a point h = 14.1 m above the ground, the crewman steps on a slick patch of ice and slips. The crate immediately accelerates toward the ground, dragging the hapless crewman across the ice and figure not to scale toward the edge of the cliff. Assuming the ice is perfectly slick, so that there is no friction between the crewman and the ice once he slips and falls down, at what speed vị will the crate hit the ground? Assume also that the rope is long enough to allow the crate to hit the ground before the crewman slides over the side of the cliff, and that the pulley is frictionless. m/s At what speed vz will the crewman hit the bottom of the ravine? Assume no air resistance. m/s

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter10: Systems Of Particles And Conservation Of Momentum
Section: Chapter Questions
Problem 75PQ
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Using a simple pulley and rope system, a
т,
crewman on an Arctic expedition is trying to
frictionless
lower a crate of mass mị
5.13 kg to the bottom
of a steep ravine of height H
25.4 m. The
60.9 kg is walking while
crewman of mass m2
т
holding the rope, being careful to lower the crate
at a constant speed of vo
Н
1.50 m/s.
Unfortunately, when the crate reaches a point
h = 14.1 m above the ground, the crewman steps
on a slick patch of ice and slips. The crate
immediately accelerates toward the ground,
dragging the hapless crewman across the ice and
figure not to scale
toward the edge of the cliff.
Assuming the ice is perfectly slick, so that there is no friction between the crewman and the ice once he slips and falls down,
at what speed vị will the crate hit the ground? Assume also that the rope is long enough to allow the crate to hit the ground
before the crewman slides over the side of the cliff, and that the pulley is frictionless.
m/s
At what speed vz will the crewman hit the bottom of the ravine? Assume no air resistance.
m/s
Transcribed Image Text:Using a simple pulley and rope system, a т, crewman on an Arctic expedition is trying to frictionless lower a crate of mass mị 5.13 kg to the bottom of a steep ravine of height H 25.4 m. The 60.9 kg is walking while crewman of mass m2 т holding the rope, being careful to lower the crate at a constant speed of vo Н 1.50 m/s. Unfortunately, when the crate reaches a point h = 14.1 m above the ground, the crewman steps on a slick patch of ice and slips. The crate immediately accelerates toward the ground, dragging the hapless crewman across the ice and figure not to scale toward the edge of the cliff. Assuming the ice is perfectly slick, so that there is no friction between the crewman and the ice once he slips and falls down, at what speed vị will the crate hit the ground? Assume also that the rope is long enough to allow the crate to hit the ground before the crewman slides over the side of the cliff, and that the pulley is frictionless. m/s At what speed vz will the crewman hit the bottom of the ravine? Assume no air resistance. m/s
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