Digestive system: consists of the gastrointestinal tract plus the accessory organs of digestion. Digestion involves the breakdown of food into smaller and smaller components, until they can be absorbed and assimilated into the body.
Endocrine system: a chemical messenger system comprising feedback loops of the hormones released by internal glands of an organism directly into the circulatory system, regulating distant target organs.
Eukaryotes: organisms whose cells have a nucleus enclosed within a nuclear envelope.
Excretory system: an organism's body that performs the function of excretion, the bodily process of discharging wastes.
Golgi Apparatus/complex: an organelle found in most eukaryotic cells. Part of the endomembrane system in the cytoplasm, it packages proteins into membrane-bound vesicles inside the cell before the vesicles are sent to their destination.
Lysosome: a membrane-bound cell organelle that contains digestive enzymes. They break down excess or worn-out cell parts. They may be used to destroy invading viruses and bacteria.
Mitochondria: a membrane-bound cell organelles that generate most of the chemical energy needed to power the cell's biochemical reactions.
Muscular system: an organ system consisting of skeletal, smooth and cardiac muscles. It permits movement of the body, maintains posture and circulates blood throughout the body
Nervous system: the network of nerve cells and fibers which transmits nerve impulses between parts of the body.
Nucleus: a membrane-bound organelle that contains DNA of eukaryotic organisms. As such, it serves to maintain the integrity of the cell by facilitating transcription and replication processes.
Organ: a group of tissues in a living organism that have been adapted to perform a specific function.
Organism: an individual animal, plant, or single-celled life form.
Organ system: a group of organs that work together as a biological system to perform one or more functions
Prokaryotes: a microscopic single-celled organism that has neither a distinct nucleus with a membrane nor other specialized organelles.
Ribosome: a minute particle consisting of RNA and associated proteins found in large numbers in the cytoplasm of living cells. They bind messenger RNA and transfer RNA to synthesize polypeptides and proteins.
Respiratory system: a biological system consisting of specific organs and structures used for gas exchange in animals and plants.
Rough endoplasmic reticulum: an organelle found in eukaryotic cells. Its main function is to produce proteins. It is made up of cisternae, tubules and vesicles.
Skeletal system: The human skeleton is the internal framework of the human body.
Smooth ER: is a membranous organelle found in most eukaryotic cells
Tissue: a group of cells, in close proximity, organized to perform one or more specific functions.
Vacuole: a membrane-bound organelle.
solution:
Weight of bucket = 10kg
Length or distance =14m
Weight of rope=0.5kg/m
At any point x of the rope,
=(0.5)(14-x)
=(7-0.5x)
Since the water finishes draining at 14m level and total weight of water is 42kg
Total mass=(7-0.5x)+(42-3x)+10=(59-3.5x)kg
Force=(9.8)(59-3.5x)
The average fixed cost per unit at an activity level of 5,200 units is $6.00.
<h3>What is the average fixed cost?</h3>
The average fixed cost (AFC) is fixed cost that does not change with the change in the number of goods and services produced by a company. To put it in a nutshell, average fixed cost (AFC) is the fixed cost per unit and is calculated by dividing the total fixed cost by output level.
Since no cost is fixed for a long time, average fixed cost is only for a short run. When units of production increase, the average fixed cost per unit decreases. Similarly, when the business produces less units, average cost increases per unit.
However, only one unit, mostly capital, is fixed. Examples of average fixed cost are the salaries of permanent employees, mortgage payment on machinery and plant, rent, more.
Average Fixed Cost Formula:
AFC = Total fixed cost/Output (Q)
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The minimum initial speed of the dart so that the combination makes a complete circular loop after the collision is 58.5 m/s.
<h3>Minimum speed for the object not fall out of the circle</h3>
The minimum speed if given by tension in the wire;
T + mg = ma
T + mg = m(v²)/R
tension must be zero for the object not fall
0 + mg = mv²/R
v = √(Rg)
<h3>Final speed of the two mass after collision</h3>
Use the principle of conservation of energy
K.Ef = K.Ei + P.E
¹/₂mvf² = ¹/₂mv² + mg(2R)
¹/₂vf² = ¹/₂v² + g(2R)
¹/₂vf² = ¹/₂(Rg) + g(2R)
vf² = Rg + 4Rg
vf² = 5Rg
vf = √(5Rg)
vf = √(5 x 2.8 x 9.8)
vf = 11.7 m/s
<h3>Initial speed of the dart</h3>
Apply principle of conservation of linear momentum for inelastic collision;
5v = vf(20 + 5)
5v = 11.7(25)
5v = 292.5
v = 58.5 m/s
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