4.) We are told that ball A is travelling from right to left, which we will refer to as a positive direction, making the initial velocity of ball A, +3 m/s. If ball B is travelling in the opposite direction to A, it will be travelling at -3 m/s. The final velocity of A is +2 m/s. Using the elastic collision equation, which uses the conservation of linear momentum, we can solve for the final velocity of B.
MaVai + MbVbi = MaVaf + MbVbf
Ma = 10 kg and Mb = 5 kg are the masses of balls A and B.
Vai = +3 m/s and Vbi = -3 m/s are the initial velocities.
Vaf = +2 m/s and Vbf = ? are the final velocities.
(10)(3) + (5)(-3) = (10)(2) + 5Vbf
30 - 15 = 20 + 5Vbf
15 = 20 + 5Vbf
-5 = 5 Vbf
Vbf = -1 m/s
The final velocity of ball B is -1 m/s.
5.) We are now told that Ma = Mb, but Vai = 2Vbi
We can use another formula to look at this mathematically.
Vaf = [(Ma - Mb)/(Ma + Mb)]Vai + [(2Mb/(Ma + Mb)]Vbi
Since Ma = Mb we can simplify this formula.
Vaf = [(0)/2Ma]Vai + [2Ma/2Ma]Vbi
Vaf = Vbi
Vbf = [(2Ma/(Ma + Mb)]Vai + [(Ma - Mb)/(Ma + Mb)]Vbi
Vbf = [2Mb/2Mb]Vai + [(0)/2Mb]Vbi
Vbf = Vai
Vaf = Vbi
Vbf = 2Vbi
If the initial velocity of A is twice the initial velocity of B, then the final velocity of A will be equal to the initial velocity of B.
If the initial velocity of A is twice the initial velocity of B, then the final velocity of B will be twice the initial velocity of B.
Cells can repair themselves in a molecular level through its DNA and the process involve, either the old damage cells are renewed and resynthesized by new ones as cell divides and undergoes such division.
<span><span>Organelles
are tiny parts of a cell, in analogy are like organs. They perform
various tasks vital for a cell to survive. They deliver information,
send nutrients and excrete waste and protect cells from antibodies and
other microorganisms that could and possible harm the cell itself.<span> </span></span>
Cells repair themselves through the process of cell division and mitotic process. <span>Mitosis
occurs more in your body since it changes, modifies and requires cell
division at maximum rate in many useful situations with the stand to a
particular system and organ. Mitosis and meiosis are simply cell
division processes that occurs differently, they're characteristically
divergent from each other according to their function and structure.<span>
</span></span></span>
<span>"Mono" is the prefix that would be used before
saccharide to describe sucrose, making it "Monosaccharide".
Mono is a Greek word usually used to indicate
"Single" and Monosaccharide is the simple sugar which is the basic
source of carbohydrates. This belongs to the class of sugar which cannot be
further hydrolyzed into simpler sugar.</span>
It doesn’t stop growing, it just grows more slowly due to less sunlight, rain and the cold temperature.
Basal cell carcinoma. It’s the most common but least dangerous from of skin cancer. Hope this helps!