As a hiker in Glacier National Park, you are looking for a way to keep the bears from getting at your supply of food. You find a campground that is near an outcropping of ice from one of the glaciers. Part of the ice outcropping forms a slope of angle o up to a vertical cliff. You decide that this is an ideal place to hang your food supply, as the cliff is too tall for a bear to reach it. You put all of your food into a burlap sack, tie an unstretchable rope to the sack, and tie another bag full of rocks to the other end of the rope to act as an anchor. The mass of rocks that you put into the anchor bag is equal to the mass of food in the other bag. A What will be the acceleration a of the food bag when you let go of the anchor bag? Assume that the weight of the rope is negligible, and that the ice can be considered frictionless. Express the resulting acceleration a of the food bag in terms of o and g, the acceleration due to gravity. Let the positive direction for this bag be downwards.

Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter6: Motion In Two Dimensions
Section6.3: Relative Velocity
Problem 27PP
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As a hiker in Glacier National Park, you are looking for a
way to keep the bears from getting at your supply of food.
You find a campground that is near an outcropping of ice
from one of the glaciers. Part of the ice outcropping forms a
slope of angle o up to a vertical cliff. You decide that this is
an ideal place to hang your food supply, as the cliff is too tall
for a bear to reach it. You put all of your food into a burlap
sack, tie an unstretchable rope to the sack, and tie another
bag full of rocks to the other end of the rope to act as an
anchor. The mass of rocks that you put into the anchor bag is
equal to the mass of food in the other bag. A
What will be the acceleration a of the food bag when you let
go of the anchor bag? Assume that the weight of the rope is
negligible, and that the ice can be considered frictionless.
Express the resulting acceleration a of the food bag in terms
of o and g, the acceleration due to gravity. Let the positive
direction for this bag be downwards.
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MacBoo
DD
Transcribed Image Text:As a hiker in Glacier National Park, you are looking for a way to keep the bears from getting at your supply of food. You find a campground that is near an outcropping of ice from one of the glaciers. Part of the ice outcropping forms a slope of angle o up to a vertical cliff. You decide that this is an ideal place to hang your food supply, as the cliff is too tall for a bear to reach it. You put all of your food into a burlap sack, tie an unstretchable rope to the sack, and tie another bag full of rocks to the other end of the rope to act as an anchor. The mass of rocks that you put into the anchor bag is equal to the mass of food in the other bag. A What will be the acceleration a of the food bag when you let go of the anchor bag? Assume that the weight of the rope is negligible, and that the ice can be considered frictionless. Express the resulting acceleration a of the food bag in terms of o and g, the acceleration due to gravity. Let the positive direction for this bag be downwards. about us privacy policy terms of use contact us help careers MacBoo DD
1:29
Step2
b)
FREE BODY
DIA GRAM
OF BOTH BAGS,
mgsing -----
bu.
la
my
mg
Step3
с)
WRITING
FORCE
EQUA TION
IN VERTICAL DIRECTION,
-T =
mg
T= mg
ma
- ma
m(g-a)
OR
WRITING
FORCE
EQUATION
PARALLEL To PLANE,
T- mg sin ở
m(g-a)
ma
PUTTING
て=
, WE GET,
m(g-a)
mg seino = ma
[(g-a) -g sninb]
a = g(1- sinb) -
2a = 9 (1-sn) >
OR
- ma
(1-sin 0)
Transcribed Image Text:1:29 Step2 b) FREE BODY DIA GRAM OF BOTH BAGS, mgsing ----- bu. la my mg Step3 с) WRITING FORCE EQUA TION IN VERTICAL DIRECTION, -T = mg T= mg ma - ma m(g-a) OR WRITING FORCE EQUATION PARALLEL To PLANE, T- mg sin ở m(g-a) ma PUTTING て= , WE GET, m(g-a) mg seino = ma [(g-a) -g sninb] a = g(1- sinb) - 2a = 9 (1-sn) > OR - ma (1-sin 0)
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