Answer:
r² / 110² − 3z² / 1375² = 1
Explanation:
The equation of a hyperboloid (which is a hyperbola rotated about the z axis or conjugate axis) that is centered at the origin is:
x² / a² + y² / b² − z² / c² = 1
If the cross sections are circular rather than elliptical, then a = b.
(x² + y²) / a² − z² / c² = 1
Or, if you prefer cylindrical coordinates:
r² / a² − z² / c² = 1
We know that at z = 0, r = 110. And at z = -500, r = 130.
110² / a² − 0 = 1
130² / a² − (-500)² / c² = 1
Solving:
a² = 110²
c² = 1375² / 3
Plugging in:
r² / 110² − 3z² / 1375² = 1
Answer:
Explanation: Today, the increasing temperature is causing ice caps on Mount Kilimanjaro and ice sheets in Antarctica and Greenland to melt (Lovgren 2004a) (see Appendix 2). This has resulted in the rise in sea level, causing many problems to the nature balance. Cold water fish cannot survive and even coral reefs are dying as the water is becoming too warm. This causes problems for people fishing them as a food source and influences the fisheries in general. Besides, Lovgren (2004b) said that the rising sea level can have serious impacts on low-lying countries, some of which like Indian Ocean’s Maldives or Nile Delta could be submerged. Not only will fishing be affected but people will also have difficulties in finding higher ground for living.
An imbalance in nature’s food chain would be caused by global warming. As ice sheets melt in the Antarctic, the polar bears would be adversely affected since the temperature is too warm for them to live. “Polar bears are entirely dependent on sea ice, you lose sea ice, you lose polar bears” (Malcolm 2004). Additionally, the seal and sea lion population that would otherwise be controlled by polar bears as part of their diet would multiply and overpopulation may occur, causing many fishes being eaten and depleted. This depletion affects fisheries and people living in the northern hemisphere because they must then find other food sources which would be difficult as their main source of protein and food are fish.
Answer:
Explanation:
Given the following data;
Distance = 46 km
Time = 11 minutes
To find the average speed;
Speed = distance/time
Answer:
Jari
Explanation:
The question requires to know who is traveling faster. This is done by comparing the gradients. The steeper the slope (high gradient), the faster the speed and vice versa.
From Jari's line, the starting point is (0, 0) and another point is (6, 7)
The gradient being change in y to change in x
Change in y=7-0=7
Change in x=6-0=6
Slope is 7/6
For Jade, first point is (0, 10) then another point is (6, 16)
Change in y=16-10=6
Change in x=6-0=6
Slope is 6/6=1
Clearly, 7/6 is greater than 6/6 or 1 hence Jari is faster than Jade
The acceleration at the bottom of the loop is 34m/
Explanation:
<u>Given: </u>
Mass=52kg
Force=1750N
To calculate:
The acceleration at the bottom of the loop
<u>Formula:
</u>
Force=Mass x Acceleration
1750=52 x Acceleration
1750/52=Acceleration
Therefore acceleration at the bottom of the loop is 34m/
Roller coasters are mainly based upon acceleration theory they have two types of acceleration one is at the top of the loop and the other is at the bottom of the loop.
Then the net forces and the values are given. In many problems the roller coaster concept is included and it gives another level of clarity to the problems including the net forces