*89. ssm A person whose weight is 5.20 × 10² N is being pulled up ver-tically by a rope from the bottom of a cave that is 35.1 m deep. Themaximum tension that the rope can withstand without breaking is 569 N.What is the shortest time, starting from rest, in which the person can bebrought out of the cave?

Here we can easily say that the tension T is the rope will act vertically upwards. The wight of the…

Answered: *89. ssm A person whose weight is 5.20…

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter5: Displacement And Force In Two Dimensions

Section: Chapter Questions

Problem 8STP

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You are a member of an alpine rescue team and must get a box of supplies, with mass 2.30 kg , up an incline of constant slope angle 30.0 ∘ so that it reaches a stranded skier who is a vertical distance 2.50 m above the bottom of the incline. There is some friction present; the kinetic coefficient of friction is 6.00×10−2. Since you can't walk up the incline, you give the box a push that gives it an initial velocity; then the box slides up the incline, slowing down under the forces of friction and gravity. Take acceleration due to gravity to be 9.81 m/s2. Use the work-energy theorem to calculate the minimum speed v that you must give the box at the bottom of the incline so that it will reach the skier. Express your answer numerically, in meters per second.
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