water tank pulley water leak you

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter14: Fluid Mechanics
Section: Chapter Questions
Problem 83P: Verify that pressure has units of enery per unit volume.
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Scenario: A chair with a mass of 20.0 kg is attached to one end of a frictionless pulley system via a strong massless rope. The other end of the rope is attached to a steel water tank sitting on a flat horizontal concrete surface (see the image to the right). The coefficient of static friction between steel and concrete is 0.45 and the coefficient of kinetic friction between the surfaces is 0.30. The water tank, which is full of water, has sprung a leak. The combined mass of the water and the tank is 500 kg. This mass slowly decreases as the water leaks from the hole. You (i.e. your entire mass is 55.7 KG) are sitting at rest in the seat. You and the seat will remain at rest as long as the force of static friction is strong enough to hold you. Task: LET [DOWN] and [RIGHT] be positive. Using your knowledge of physics, determine the following: Draw the FBD of the system of you and the chair while at rest. Using the LET statement above, write out the net force equation. Draw the FBD of the system of the water tank at rest on the flat horizontal surface. Using the LET statement above, write out the net force equations for both the vertical and horizontal planes. Using the net force equations, determine the minimum mass of water that must be lost (i.e. leaked out) from the water tank in order for you and the seat to begin falling?
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Transcribed Image Text:water tank pulley water leak you chair
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