In: Physics

Describe the "behavior" of F_air: in Rocket Dynamics , why
might it first increase with height, and then decrease with even
greater height. Dissect the equation like a physicist: what terms
in the equation for F_air are more important and when?

The air force = -(.5cAd0e^-ky)v^2/m.

The air drag force equation has two parts

where

where y is the height

and

where v is the velocity.

At first when the rocket is launched, the velocity of the rocket increases because of the thrust and the height, y is still small

Therefore the air drag force increases because of the term

After the rocket has reached considerable height, the term dominates and this term decreases as y increases. Hence the drag force decreases at greater height.

The drag force's schematic graph (F vs y ) looks as follows

where the increase in F in the first part is due to the term

and the decrease in F in the later part is due to the term

Based on dynamics, describe the behavior of a phase portrait of
a n-body problem.

A rocket shot up reaches a height of 90.0m where an explosion
causes the rocket to split into two parts that weigh 2.8kg and
0.56kg respectively. 870J of chemical energy was transformed into
kinetic energy of the two parts.
(i) Describe the conservation of momentum and energy and include
an equation that represents this example.
(ii) What is the speed of each part just after the
explosion?
(iii) It is observed that the two parts hit the ground at the...

In the first stage of a two-stage rocket, the rocket is fired
from the launch pad starting from rest but with a constant
acceleration of 3.50 m/s2 upward. At 25.0 s after launch, the
second stage fires for 10.0 s, which boosts the rocket’s velocity
to 132.5 m/s upward at 35.0 s after launch. This firing uses up all
the fuel, however, so after the second stage has finished firing,
the only force acting on the rocket is gravity. Air...

11. A rocket is fired upward from some initial height above the ground. Its height h in feet above the ground t seconds after it is fired is given by h = -16t2 + 48t +448.(i) What is its initial height? __________ ft. (ii) What is its maximum height? ___________ ft.(iii) How long does it take to reach the ground? __________ sec.

In leadership dynamics, it teaches you that leadership is the
essential organizational behavior. Is this true? Why or why
not?

Describe some ways that an employer might adjust increase in the
minimum wage.

Physiological class. In measurement. How and why might the
Weight/height ratio be more valuable than BMI?

Describe a change in the U.S. tax code that might increase private
saving but bot impact overall operations of the government. if this
policy were implemented, how would this impact the market for
loanable funds? Remember, the intent is to not impact the money
availabe to operate, service the debt, and pay outlays to citizens
or parties residing in the country.

Capital Utilization Rate: The fraction of the capital stock used
in production. Why might an increase in tax rates on labor lower
Capital Utilization Rates?

Describe the behavior of the marginal utilities of such
products.
Does this explain why many people choose not to smoke,
but those who do usually consume ten or more cigarettes per
day?

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