A tank originally contains 100 gal of fresh water. Then water containing lb of salt per gallon is poured into the tank at a rate of 2 gal/min, and the mixture is allowed to leave at the same rate. After 10 min the process is stopped, and fresh water is poured into the tank at a rate of 1 gal/min, with the mixture again leaving at the same rate. Find the amount of salt in the tank at the end of an additional 10 min. Round your answer to two decimal places. i lbs

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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A tank originally contains 100 gal of fresh water. Then water containing lb of salt per gallon is poured into the tank at a rate of 2
2
gal/min, and the mixture is allowed to leave at the same rate. After 10 min the process is stopped, and fresh water is poured into the tank
at a rate of 1 gal/min, with the mixture again leaving at the same rate. Find the amount of salt in the tank at the end of an additional 10
min.
Round your answer to two decimal places.
lbs
i
Transcribed Image Text:A tank originally contains 100 gal of fresh water. Then water containing lb of salt per gallon is poured into the tank at a rate of 2 2 gal/min, and the mixture is allowed to leave at the same rate. After 10 min the process is stopped, and fresh water is poured into the tank at a rate of 1 gal/min, with the mixture again leaving at the same rate. Find the amount of salt in the tank at the end of an additional 10 min. Round your answer to two decimal places. lbs i
A skydiver weighing 279 lbf (including equipment) falls vertically downward from an altitude of 6000 ft and opens the parachute after 11
s of free fall. Assume that the force of air resistance, which is directed opposite to the velocity, is 0.72 | v when the parachute is closed
and 14 | when the parachute is open, where the velocity is measured in ft/s.
Use g
(a) Find the speed of the skydiver when the parachute opens.
v(11) = = i
(b) Find the distance fallen before the parachute opens.
x(11) = i
=
32 ft/s². Round your answers to two decimal places.
U₂ =
ft/s
(c) What is the limiting velocity z after the parachute opens?
i
ft
ft/s
Transcribed Image Text:A skydiver weighing 279 lbf (including equipment) falls vertically downward from an altitude of 6000 ft and opens the parachute after 11 s of free fall. Assume that the force of air resistance, which is directed opposite to the velocity, is 0.72 | v when the parachute is closed and 14 | when the parachute is open, where the velocity is measured in ft/s. Use g (a) Find the speed of the skydiver when the parachute opens. v(11) = = i (b) Find the distance fallen before the parachute opens. x(11) = i = 32 ft/s². Round your answers to two decimal places. U₂ = ft/s (c) What is the limiting velocity z after the parachute opens? i ft ft/s
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