lock is sliding with a speed of 4.50 m/s on a smooth horizontal surface when, at point P, it ounters a rough section. On the rough section, the coefficient of friction is not constant, but starts at 00 at point P and increases "linearly" with distance past point P, reaching a value of 0.600 at 12.5m ast point P. (a) Use the Work-Energy theorem to find how far this box slides before stopping. (b) What is the coefficient of friction at the stopping point? (c) How far would the box have slid if the friction coefficient did not increase, but instead had a constant value of 0.100? Answers: (a) 5.11m (b) 0.304 (c) 10.3m

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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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block is sliding with a speed of 4.50 m/s on a smooth horizontal surface when, at point P, it
ounters a rough section. On the rough section, the coefficient of friction is not constant, but starts at
00 at point P and increases "linearly" with distance past point P, reaching a value of 0.600 at 12.5m
ast point P.
(a) Use the Work-Energy theorem to find how far this box slides before stopping,
(b) What is the coefficient of friction at the stopping point?
(c) How far would the box have slid if the friction coefficient did not increase, but instead had a
constant value of 0.100?
Answers: (a) 5.11m
(b) 0.304 (c) 10.3m
5. A 15.0kg stone slides down a snow-covered hill (h = 20.0m high) leaving point A with a speed of
10.0m/s. The width, w, of the hill at its base is 15 Om There is no friction on the hill between point A and
point B (at the bottom of the hill), but there is friction on the level, horizontal ground at the bottom of the
hill, between point B and a wall. After entering the rough ground region, the stone travels 100m and
then runs into a very long, light spring ( k= 2.00N/m) attached horizontally to the wall. The coefficients
of friction between the stone and horizontal ground are: us = 0.800 and uk = 0.200.
Stone
A
(a) What is the speed of the stone when it reaches point B?
(b) Will the stone move again after it has been stopped by the spring?
h
Answers: (a) 22.2 m/s
(b) No.
spring
w
6. Jane, whose mass is 50.0 kg, needs to swing across a river filled with crocodiles in order to rescue
Tarzan, whose mass is 80.0 kg. However, she must swing into a constant horizontal wind force, F, on a
vine that is initially at an angle of 0 with the vertical. In the figure, D = 50.0 m, F = 110 N, L = 40.0 m,
and 0 = 50.0°. Note: Tarzan's ledge is a small distance above the end of the vertically hanging rope,
since the rope swings on an arc.
(a) With what minimum speed must Jane begin
her swing in order to just make it to the other side?
(Hints: Tarzan is higher than the lowest point of
the swing. Also, the wind force is constant.
s Windi
Jane
(b) Once the rescue is complete, Tarzan and Jane
must swing back across the river. With what
minimum speed must they begin their swing?
Tarzan
Transcribed Image Text:block is sliding with a speed of 4.50 m/s on a smooth horizontal surface when, at point P, it ounters a rough section. On the rough section, the coefficient of friction is not constant, but starts at 00 at point P and increases "linearly" with distance past point P, reaching a value of 0.600 at 12.5m ast point P. (a) Use the Work-Energy theorem to find how far this box slides before stopping, (b) What is the coefficient of friction at the stopping point? (c) How far would the box have slid if the friction coefficient did not increase, but instead had a constant value of 0.100? Answers: (a) 5.11m (b) 0.304 (c) 10.3m 5. A 15.0kg stone slides down a snow-covered hill (h = 20.0m high) leaving point A with a speed of 10.0m/s. The width, w, of the hill at its base is 15 Om There is no friction on the hill between point A and point B (at the bottom of the hill), but there is friction on the level, horizontal ground at the bottom of the hill, between point B and a wall. After entering the rough ground region, the stone travels 100m and then runs into a very long, light spring ( k= 2.00N/m) attached horizontally to the wall. The coefficients of friction between the stone and horizontal ground are: us = 0.800 and uk = 0.200. Stone A (a) What is the speed of the stone when it reaches point B? (b) Will the stone move again after it has been stopped by the spring? h Answers: (a) 22.2 m/s (b) No. spring w 6. Jane, whose mass is 50.0 kg, needs to swing across a river filled with crocodiles in order to rescue Tarzan, whose mass is 80.0 kg. However, she must swing into a constant horizontal wind force, F, on a vine that is initially at an angle of 0 with the vertical. In the figure, D = 50.0 m, F = 110 N, L = 40.0 m, and 0 = 50.0°. Note: Tarzan's ledge is a small distance above the end of the vertically hanging rope, since the rope swings on an arc. (a) With what minimum speed must Jane begin her swing in order to just make it to the other side? (Hints: Tarzan is higher than the lowest point of the swing. Also, the wind force is constant. s Windi Jane (b) Once the rescue is complete, Tarzan and Jane must swing back across the river. With what minimum speed must they begin their swing? Tarzan
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