After your time at nasa and due to your freshly acquired aversion to hurricanes you decide that it is time for a more "earthly" career while substituting hurricanes with earthquakes and cozy wild fires; you join the air force's test center based at edwards afb in california-north of los angeles and roughly halfway between bakersfield and barstow.
by the way, should you ever drive through barstow on your way to las vegas, stop at the mad greek restaurant which used to be my and my friends go-to stop before hitting the mohave desert.
your first mission is to devise an on-ground looping-test setup in which a model f-16 airplane of m 9,100kg is first vertically lifted up to a track at height h from which it is released and "rolling" down an incline before entering a looping with a radius of r 30m.

(note: the looping is installed at the ground.)

a) make a sketch of the setup!

b) at what height h do we (at least) need to start the test such that the airplane does complete the looping without falling off the track?

c) given this height h, what work w does our lift perform to lift the airplane up in the first place?

d) your commanding officer wants the job done quickly and commands you to lift airplanes up within t 0.5min. what mechanical power is required to achieve that?

hint: if you did not derive a numerical value for h, you can still get lots of points by writing down the equations in symbolic form.

carbon is found in all living things. carbon atoms move constantly through

living organisms, the oceans, the atmosphere, and the earth’s crust in what is

known as the carbon cycle. the directions taken by carbon atoms through this

cycle are very complicated and can take millions of years to make a full circle.

all animals, from humans to the dinosaurs are part of the carbon cycle. when

animals eat food, they get carbon in the form of carbohydrates and proteins.

in animals, oxygen combines with food in the cells to produce energy for daily

activity and then gives off carbon. the carbon combines with oxygen to form

carbon dioxide (co2) and is released back into the atmosphere as a waste

product when animals breathe and exhale.

from 145-65 million years ago, earth was much

hotter than today and covered with dense,

tropical swamp forests. the trees and other

plants were immense and

provided an endless supply of

food for the giant animals that

roamed the land. somewhere in

the air above one of these

forests, a lone carbon atom has joined

up with two oxygen atoms to form a molecule of co2.

the co2 molecule was sucked into the tiny holes (stomata) on the leaf of a

fern plant and joined with sunlight, chlorophyll and water to make food and

energy in the plant’s cells through photosynthesis. the oxygen (o2) from the

co2 molecule was sent back into the atmosphere; the carbon atom (c) was

detached and used to make a molecule of sugar.

if that carbon atom had been eaten instead, a totally

different situation would have developed. let’s say

that a giant plant-eating dinosaur (herbivore) ate the

fern for breakfast, and swallowed the carbon in the

fern in the form of carbohydrates and proteins. in

the process of respiration, oxygen combined with

the carbohydrates and proteins in the dinosaur’s cells

to provide energy for its daily activity.  

that would be b i just took the test : )

a. are

answer///terminator or twilight zone;