The momentum of a system before a collision is 2.4 × 103 kilogram meters/second in the x-direction and 3.5 × 103 kilogram meters/second in the y-direction. what is the magnitude of the resultant momentum after the collision if the collision is inelastic?
a. 1.7 × 103 kilogram meters/second
b. 2.1 × 103 kilogram meters/second
c. 3.4 × 103 kilogram meters/second
d. 4.2 × 103 kilogram meters/second
e. 5.7 × 103 kilogram meters/second

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step-by-step explanation:

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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