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Experiments show that the velocity of water flowing through porous proportional to the pressure gradient (the rate of change of pressure with distance). Deduce that the units of the constant of proportionality are m³skg. At time t = 0 a UFO is spotted at coordinates (5, 10) (units of km) flying at 500 km/h in a straight line parallel with the x axis from right to left. At the same time, a jet at the origin (0, 0) flying at 1500 km/h turns to intercept the UFO. What heading, i.e. angle with the y-axis measured clockwise, must the jet take to intercept the UFO in the shortest time and what is the distance travelled by the jet

Experiments show that the velocity of water flowing through porous proportional to the pressure gradient (the rate of change of pressure with distance). Deduce that the units of the constant of proportionality are m³skg. At time t = 0 a UFO is spotted at coordinates (5, 10) (units of km) flying at 500 km/h in a straight line parallel with the x axis from right to left. At the same time, a jet at the origin (0, 0) flying at 1500 km/h turns to intercept the UFO. What heading, i.e. angle with the y-axis measured clockwise, must the jet take to intercept the UFO in the shortest time and what is the distance travelled by the jet

Introduction to Chemical Engineering Thermodynamics
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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(a) (b) Experiments show that the velocity of water flowing through porous rock is proportional to the pressure gradient (the rate of change of pressure with distance). Deduce that the units of the constant of proportionality are m³skg¹. At time t = 0 a UFO is spotted at coordinates (5, 10) (units of km) flying at 500 km/h in a straight line parallel with the x axis from right to left. At the same time, a jet at the origin (0, 0) flying at 1500 km/h turns to intercept the UFO. What heading, i.e. angle with the y-axis measured clockwise, must the jet take to intercept the UFO in the shortest time and what is the distance travelled by the jet )
Transcribed Image Text:(a) (b) Experiments show that the velocity of water flowing through porous rock is proportional to the pressure gradient (the rate of change of pressure with distance). Deduce that the units of the constant of proportionality are m³skg¹. At time t = 0 a UFO is spotted at coordinates (5, 10) (units of km) flying at 500 km/h in a straight line parallel with the x axis from right to left. At the same time, a jet at the origin (0, 0) flying at 1500 km/h turns to intercept the UFO. What heading, i.e. angle with the y-axis measured clockwise, must the jet take to intercept the UFO in the shortest time and what is the distance travelled by the jet )
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