O 9/9/2015 07:30 AM A 0/10 Gradebook Print l Calculator Periodic Table Question

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O 9/9/2015 07:30 AM A 0/10 Gradebook Print l Calculator Periodic Table Question 2 of 2 Map A this question has been custonizedby pling Nathaniel Cunningham at Nebraska wesleyan University Denny is at the the dog park with his two dogs, Pluto and Neptune. Both dogs s away in different print directions, while Denny stands still. From Dennys point of view, Neptune runs due North at 3.65 m/s, but from Pluto's point of view, Neptune appears to be moving at 1.30 m/s due East. What must Pluto's velocity relative to Denny be for this to be true? Give your answer in unit vector notation, where North is taken to be the positive y direction and East is the positive x-direction. Next, express your answer as a magnitude and an angle measured counter-clockwise from Number Number Unit Vector Notation: m/s) i O (m/ Number Number Magnitude & Direction m/s at o counter-clockwise from d East. O Previous ® Give Up & View Solution Check Answer Next H Ext Hint

Explanation / Answer

velocity of neptune w r t Denny = VND = 3.65 j

velocity of neptune w r t pluto = VNP = 1.3i

VNP = VND - vPD

vPD = VND - vNP

velocity of pluto w r t Denny = vPD = -1.3i + 3.65 j

magnitude = sqrt(1.3^2+3.65^2) = 3.87 m/s

direction = tan^-1(3.65/1.3) = 109.6 counterclock wise from east

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