You are out on a hike and come across an unfortunate scene: a fellow hiker has fallen off a ledge. You happen to be carrying a long rope, and bravely decide to help. You tie the rope to a rock of mass mR=500 kgmR=500 kg and make your way over the ledge (see figure). If the coefficient of static friction between the rock and the ground is μS=0.355μS=0.355, and your mass is mH=70.5 kgmH=70.5 kg, what is the maximum mass of the fallen hiker (mFmF) that the rock can hold so that you two can make it back up from the ledge? Assume that where the rope passes the ledge is frictionless and that the rope is parallel to the ground.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter7: Gravity
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Problem 1PQ: We use the terms sunset and sunrise. In what way are these terms misleading?
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You are out on a hike and come across an unfortunate scene: a fellow hiker has fallen off a ledge. You happen to be carrying a long rope, and bravely decide to help. You tie the rope to a rock of mass mR=500 kgmR=500 kg and make your way over the ledge (see figure).

If the coefficient of static friction between the rock and the ground is μS=0.355μS=0.355, and your mass is mH=70.5 kgmH=70.5 kg, what is the maximum mass of the fallen hiker (mFmF) that the rock can hold so that you two can make it back up from the ledge? Assume that where the rope passes the ledge is frictionless and that the rope is parallel to the ground.

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