Answer:
Explanation:
The original equation is:
We notice that:
- we have 1 atom of Fe on the left, and 2 atoms of Fe on the right
- we have 2 atoms of O on the left, and 3 atoms of O on the right
Therefore, the equation is not balanced.
In order to balance it, we can add:
- a coefficient 3 in front of 
- a coefficient 2 in front of 
So we have:
Now the oxygen is balanced, but the iron it not balanced yet, since we have 1 Fe on the left and 4 on the right. Therefore, we should add a coefficient 4 on the Fe on the left:
Appproximately 10% of those who suffer from anorexia nervosa literally starve themselves to death.
Well,
arctan is a bijection from R into (-pi/2 , pi/2)*and
pi is a period of tangent function:
so
as we have : tan(7pi/4) = tan(pi - pi/4) = - tan(pi/4)
we finally get :
<span>arctan(tan(7pi/4)) = artan(tan(- pi/4)) = - pi/4
</span>
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Try this solution (if it is possible, check it in other sources):
1. for m_Tarzan=75kg., initial_height=4m., end_height=0 m. and g=10 N/kg. Energy is:
2. The same value of Energy is applied for m_Tarzan+Jane=75+50=125 kg.:
3. According to the formula of the Speed:
Speed=sqrt(6000/125)=sqrt(48)=4sqrt(3)≈4*1.71=6.84 (m/s)
Answer: 6.84 (m. per sec.)
This one is a piece 'o cake if you know the definition
of a horsepower, and impossible if you don't.
It is: 1 horsepower = 746 watts
Also, remember that 1 watt = 1 joule/second
Now: Work = (force) x (distance)
To move this box 2 meters,
Work = (1,492 newtons) x (2 meters) = 2,984 joules
If you accomplished that feat in 1 second,
then you produced power of
(2,984 / 1) (joule/second) = 2,984 watts .
(2,984 watt) x (1 HP / 746 watt) = 4 horsepower .
That's the solution, applying bullet-proof math and physics to the
given data. But in the real world, I guarantee that you didn't do that.
______________________________________
By the way ... a comment regarding the terminology in the question:
The box doesn't "have a force" of 1,492 newtons. That's the force
with which you ... or a horse, or an ox ... pushed against the box
in order to move it.
(And, if I might observe, that force is about 336 pounds,
so my money would be on the horse or the ox.)
