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?

Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter6: Circular Motion And Other Applications Of Newton's Laws
Section: Chapter Questions
Problem 9P
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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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