Answer:
A scientific theory is an explanation of an aspect of the natural world and universe that has been repeatedly tested and verified in accordance with the scientific method, using accepted protocols of observation, measurement, and evaluation of results. Where possible, theories are tested under controlled conditions in an experiment. In circumstances not amenable to experimental testing, theories are evaluated through principles of abductive reasoning. Established scientific theories have withstood rigorous scrutiny and embody scientific knowledge.
A scientific theory differs from a scientific fact or scientific law in that a theory explains "why" or "how": a fact is a simple, basic observation, whereas a law is a statement (often a mathematical equation) about a relationship between facts. For example, Newton’s Law of Gravity is a mathematical equation that can be used to predict the attraction between bodies, but it is not a theory to explain how gravity works. Stephen Jay Gould wrote that "...facts and theories are different things, not rungs in a hierarchy of increasing certainty. Facts are the world's data. Theories are structures of ideas that explain and interpret facts.
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Answer:
a) Under damped
Explanation:
Given that system is critically damped .And we have to find out the condition when gain is increased.
As we know that damping ratio given as follows
Where C is the damping coefficient and Cc is the critical damping coefficient.
So from above we can say that
From above relationship we can say when gain (K) is increases then system will become under damped system.
Answer: a) W(earth) = 935.62 lbs
b) Mass of rocks in slugs = 29.06 slugs
Explanation:
a) From Newton's law, W = mg. Whether on the moon or on earth. Although, the mass of the rocks everywhere is the same, that is, mass of rocks on the moon = mass of rocks on earth.
W(moon) = mg(moon)
W(moon) = 154 lbs
g(moon) = 5.30 ft/s2
m = W(moon)/g(moon) = 154/5.3 = 29.06 lb.s2/ft
W(earth) = m g(earth)
g(earth) = 32.2 ft/s2
W(earth) = 29.06 × 32.2 = 935.62 lbs.
b) A slug = 1 lb.s2/ft, therefore the mass of the rocks in slugs is 29.06 slugs.
QED!
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