1) A raised bed planter with 3 sections is being designed. It will be made from

Question

1) A raised bed planter with 3 sections is being designed. It will be made from a total of 72 feet of wooden boards and use an existing retaining wall as one edge, as depicted in the following diagram. Since the back of each section of the planter will be attached to the wall, wooden boards are not needed along the back wall. a) If each section of the planter is 6 feet long (front to back), how wide will the entire planter be, and what will be the total area of the 3-section planter? Show some work- some arithmetic. b) If each section of the planter is 15 feet long (front to back), how wide will the entire planter be, and what will be the total area of the 3-section planter? Show some work - some arithmetic. will the entire planter be, and what function will express the total area of the 3-section planter? d) What is the feasible domain of this function -the constraints that insure that both dimensions are positive?

Explanation / Answer

2.
a) F = k m1 m2 / d^2

b) 18 N = k (12 x 10^-6 kg ) (50 x 10^-6 kg) / (5 x 10^-10)^2

k = 7.5 x 10^-9

c) F = (7.5 x 10^-9) (10 x 10^-6 ) (80x 10^-6) / (8 x 10^-10) ^2

F = 9.375 N

d) F = k m1 m2 /d^2

10 = (7.5 x 10^-9 ) (30 x 10^-6) (m2) / (10 x 10^-10)^2

m2 = 44.44 x 10^-6 kg = 44.44 ug

e) 50 = (7.5 x 10^-9) (40 x 10^-6 ) (40 x 10^-6) / d^2

d = 4.9 x 10^-10 m = 4.9 angstrom

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