1. A 15.7 k g dog is running northward at 2.03 m / s , while a 6.36 k g cat is r
ID: 2142468 • Letter: 1
Question
1. A 15.7kg dog is running northward at 2.03m/s , while a 6.36kg cat is running eastward at 3.32m/s . Their 78.3kg owner has the same momentum as the two pets taken together.
a) Find Velocity.
Explanation / Answer
momentum of dog = mass of dog*velocity of dog = 15.7*2.03 (j) => p(dog) = 31.871 (j) kg-m/s momentum of cat = mass of cat*velocity of cat = 6.36*3.32 (i) => p(cat) = 21.12 (i) kg-m/s sinve the two momentums are perpendicular to each other. magnitude of total momentum = sqrt[(31.871)^2 +(21.12)^2] = 38.23 kg-m/s direction of total momentum of two pets = tan^-1(31.871/21.12) = 56.47 degrees north of east momentum of two pets = momentum of owner => mass of owner*velocity of owner = 38.23 => 78.3*v = 38.23 => v = 0.49 m/s ( 56.47 degrees north of east)
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