Explanation:
this is the answer.....................
.
The flux of 
is given by the surface integral
where 
is the given square region, which we can parameterize by
with 
and 
. The area element is
where 
is the normal vector to . Depending on the orientation of , this vector could be
or 
; either way, the integral reduces to
Answer:
3.6m
Explanation:
if you are at a building that is 46m above the ground, and the professor is 1.80m, the egg must fall:
46m - 1.80m = 44.2m
the egg must fall for 44.2m to land on the head of the professor.
Now, how many time this takes?
we have to use the following free fall equation:
where 
is the height, 
is the initial velocity, in this case 
. 
is the acceleration of gravity: 
and 
is time, thus:
clearing for time:
we know that the egg has to fall for 44.2m, so 
, and , so we the time is:
Finally, if the professor has a speed of 
, it has to be at a distance:
and t=3.002s:
so the answer is the professor has to be 3.6m far from the building when you release the egg
Answer: 1175 J
Explanation:
Hooke's Law states that "the strain in a solid is proportional to the applied stress within the elastic limit of that solid."
Given
Spring constant, k = 102 N/m
Extension of the hose, x = 4.8 m
from the question, x(f) = 0 and x(i) = maximum elongation = 4.8 m
Work done =
W = 1/2 k [x(i)² - x(f)²]
Since x(f) = 0, then
W = 1/2 k x(i)²
W = 1/2 * 102 * 4.8²
W = 1/2 * 102 * 23.04
W = 1/2 * 2350.08
W = 1175.04
W = 1175 J
Therefore, the hose does a work of exactly 1175 J on the balloon
Johannes Kepler and his laws were a great influence on Isaac Newton. ... Newton used his laws of gravity and motion to derive Kepler's laws and show that the motion of the planets could be explained using mathematics and physics.
