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11. A lank contains 40 gal brine for which the concentration is initialy 3 b/gal of salt. A brine solution is pumped into the tonk at the rate of 5 gal/min. ond the mixture. kept uniform by stiring, runs out at the same rate. Hthe concentration of the solution flowing in a 2 b/gol a) determine the amount of salt in the tank at anytime t b) how much sall is present offer 10 min? e) affer a long time?

11. A lank contains 40 gal brine for which the concentration is initialy 3 b/gal of salt. A brine solution is pumped into the tonk at the rate of 5 gal/min. ond the mixture. kept uniform by stiring, runs out at the same rate. Hthe concentration of the solution flowing in a 2 b/gol a) determine the amount of salt in the tank at anytime t b) how much sall is present offer 10 min? e) affer a long time?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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11. A tank contains 40 gal beine for which the concentration is initialy 3 b/gal of salt. A brine soluion is pumped into the fonk at the rote of 5 gal/min and the mixture. kept uniform by stiring, runs out at the same rate. the concentration of the solution flowing in a 2 b/gal a) determine the amount of salt in the tank at anytime t b) how much salt is present offer 10 min? e) affer a long time? 12. A tank contoins 80 gal of pure woter. Brine solution with 2 b/gol of solt enters at 2 gat/min, and the well-stimed mlature leaves at the same rate. Find a) the amount of salt in the tank after hal an hour? b) determine the imiting value for he amount of solt in the tank offer a long fime, and e) how much time must pass before the amount of saltl in the tank reaches 80% of this imiting value? 13. A certain type of glass is such that a slab l" thick absorbs one-quarter of the light which storts to pass through it. How thin must a pane of be made to absorb only 15 of the light? 14. Find the velocity of escape of the Apollo spaceship as it is projected trom the earth's surface, that is the minimum velocity imparted to so that it will never return. The radius of the earth is 4000 miles and the acceleration of the spaceship a 32.2 (Express your answer in kph.) 15. An object is hrown vertically upward from the ground with iniliol velocity of 1940 cm/sec. Neglecting the ak resistance. find o) the maximum height reached b) the totol fime taken to return to the starting point.
Transcribed Image Text:11. A tank contains 40 gal beine for which the concentration is initialy 3 b/gal of salt. A brine soluion is pumped into the fonk at the rote of 5 gal/min and the mixture. kept uniform by stiring, runs out at the same rate. the concentration of the solution flowing in a 2 b/gal a) determine the amount of salt in the tank at anytime t b) how much salt is present offer 10 min? e) affer a long time? 12. A tank contoins 80 gal of pure woter. Brine solution with 2 b/gol of solt enters at 2 gat/min, and the well-stimed mlature leaves at the same rate. Find a) the amount of salt in the tank after hal an hour? b) determine the imiting value for he amount of solt in the tank offer a long fime, and e) how much time must pass before the amount of saltl in the tank reaches 80% of this imiting value? 13. A certain type of glass is such that a slab l" thick absorbs one-quarter of the light which storts to pass through it. How thin must a pane of be made to absorb only 15 of the light? 14. Find the velocity of escape of the Apollo spaceship as it is projected trom the earth's surface, that is the minimum velocity imparted to so that it will never return. The radius of the earth is 4000 miles and the acceleration of the spaceship a 32.2 (Express your answer in kph.) 15. An object is hrown vertically upward from the ground with iniliol velocity of 1940 cm/sec. Neglecting the ak resistance. find o) the maximum height reached b) the totol fime taken to return to the starting point.
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