Physics For Scientists And Engineers, Volume 2, Technology Update
9th Edition
ISBN: 9781305116412
Author: SERWAY, Raymond A.; Jewett, John W.
Publisher: Cengage Learning
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Chapter 1, Problem 1.71AP
(a)
To determine
The rate of rise in the level of shampoo, at the point where the diameter of the bottle is
(b)
To determine
The rate of rise in the level of shampoo, at the point where the diameter of the bottle is
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A gallon of milk in a full plastic jug is sitting on the edge of your kitchen table. Estimate the vertical distance between the top surface of the milk and the bottom of the jug. Also estimate the distance from the tabletop to the floor. You punch a small hole in the side of the jug just above the bottom of the jug, and milk flows out the hole. When the milk first starts to flow out the hole, what horizontal distance does it travel before reaching the floor? Assume the milk is in free fall after it has passed through the hole, and neglect the viscosity of the milk.
Milk is poured into a bowl at a constant rate of 17.0 cm3/s. The bowl has a circular cross section, but does not have a uniform diameter. (That is, different horizontal cross sections taken at different heights of the bowl have different diameters.)
(a)
As the milk fills the bowl, the milk level reaches a point where the diameter of the bowl is
d1 = 1.45 cm.
What is the rate (in cm/s) at which the milk level rises at this diameter?
(b)
As the milk continues to fill the bowl, the milk level reaches a point where the diameter of the bowl is
d2 = 5.30 cm.
What is the rate (in cm/s) at which the milk level rises at this diameter?
A child loves to watch as you fill a transparent plastic bottle with shampoo (see figure below). Every horizontal cross section of the bottle is circular, but the diameters of the circles have different values. You pour the brightly colored shampoo into the bottle at a constant rate of 17.0 cm3/s.
At what rate is its level in the bottle rising at a point where the diameter of the bottle is d1 = 5.50 cm?
At what rate is its level in the bottle rising at a point where the diameter of the bottle is d2 = 1.41 cm?
Chapter 1 Solutions
Physics For Scientists And Engineers, Volume 2, Technology Update
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