3) Jack takes a 4.0-kg bucket of water connected on a cord, and swings it in a vertical circle of radius 85.0 cm at a constant speed of 6.0 m/s. 85cm 85m 100 a) When the bucket passes its highest point, what are the magnitude and direction of its acceleration? 6.am/s) =42.35 m/s ar = (85m) b) When the bucket passes its highèst point, what is the tension in the cord? ニ - mg =Uhg.7.8m/2= 39.2 Ft = Fg +me= 39.2+(10ky.42.35m/s)= 462.7N %3D c) The cord can handle a maximum force of 300N. What is the maximum constant speed that Jack can spin the bucket before the cord breaks?

College Physics
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Author:Raymond A. Serway, Chris Vuille
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Chapter7: Rotational Motion And The Law Of Gravity
Section: Chapter Questions
Problem 13CQ: An object executes circular motion with constant speed whenever a net force of constant magnitude...
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Solve # 3 c
3) Jack takes a 4.0-kg bucket of water connected on a cord, and swings it in a vertical circle of radius 85.0
cm at a constant speed of 6.0 m/s.
85cm 85m
-100
a) When the bucket passes its highest point, what are the magnitude and direction of its acceleration?
6.om/s)2
=42.35 m/s
ær
%3D
85m
b) When the bucket passes its highèst point, what is the tension in the cord?
Éd=
- mg = 4hg-7.8nls?= 39.2
= fa +ma = 39.2+(10k9.42.35mk)= 462.7N
%3D
c) The cord can handle a maximum force of 300N. What is the maximum constant speed that Jack can
spin the bucket before the cord breaks?
Transcribed Image Text:3) Jack takes a 4.0-kg bucket of water connected on a cord, and swings it in a vertical circle of radius 85.0 cm at a constant speed of 6.0 m/s. 85cm 85m -100 a) When the bucket passes its highest point, what are the magnitude and direction of its acceleration? 6.om/s)2 =42.35 m/s ær %3D 85m b) When the bucket passes its highèst point, what is the tension in the cord? Éd= - mg = 4hg-7.8nls?= 39.2 = fa +ma = 39.2+(10k9.42.35mk)= 462.7N %3D c) The cord can handle a maximum force of 300N. What is the maximum constant speed that Jack can spin the bucket before the cord breaks?
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