Answer:
0.572 MeV
2.467 MeV
Explanation:
c = Speed of light = 
m = Mass of electron = 
v = Final velocity
u = Initial velocity
Kinetic energy is given by
![E=mc^2\left[\dfrac{1}{\sqrt{1-\dfrac{v^2}{c^2}}}-\dfrac{1}{\sqrt{1-\dfrac{u^2}{c^2}}}\right]\\\Rightarrow E=9.11\times 10^{-31}\times (3\times 10^8)^2\left[\dfrac{1}{\sqrt{1-\dfrac{0.898^2c^2}{c^2}}}-\dfrac{1}{\sqrt{1-\dfrac{0.5^2c^2}{c^2}}}\right]\\\Rightarrow E=9.16689\times 10^{-14}\ J\\\Rightarrow E=\dfrac{9.16689\times 10^{-14}}{1.6\times 10^{-13}}\\\Rightarrow E=0.572\ MeV](https://tex.z-dn.net/?f=E%3Dmc%5E2%5Cleft%5B%5Cdfrac%7B1%7D%7B%5Csqrt%7B1-%5Cdfrac%7Bv%5E2%7D%7Bc%5E2%7D%7D%7D-%5Cdfrac%7B1%7D%7B%5Csqrt%7B1-%5Cdfrac%7Bu%5E2%7D%7Bc%5E2%7D%7D%7D%5Cright%5D%5C%5C%5CRightarrow%20E%3D9.11%5Ctimes%2010%5E%7B-31%7D%5Ctimes%20%283%5Ctimes%2010%5E8%29%5E2%5Cleft%5B%5Cdfrac%7B1%7D%7B%5Csqrt%7B1-%5Cdfrac%7B0.898%5E2c%5E2%7D%7Bc%5E2%7D%7D%7D-%5Cdfrac%7B1%7D%7B%5Csqrt%7B1-%5Cdfrac%7B0.5%5E2c%5E2%7D%7Bc%5E2%7D%7D%7D%5Cright%5D%5C%5C%5CRightarrow%20E%3D9.16689%5Ctimes%2010%5E%7B-14%7D%5C%20J%5C%5C%5CRightarrow%20E%3D%5Cdfrac%7B9.16689%5Ctimes%2010%5E%7B-14%7D%7D%7B1.6%5Ctimes%2010%5E%7B-13%7D%7D%5C%5C%5CRightarrow%20E%3D0.572%5C%20MeV)
The energy required is 0.572 MeV
![E=mc^2\left[\dfrac{1}{\sqrt{1-\dfrac{v^2}{c^2}}}-\dfrac{1}{\sqrt{1-\dfrac{u^2}{c^2}}}\right]\\\Rightarrow E=9.11\times 10^{-31}\times (3\times 10^8)^2\left[\dfrac{1}{\sqrt{1-\dfrac{0.99^2c^2}{c^2}}}-\dfrac{1}{\sqrt{1-\dfrac{0.898^2c^2}{c^2}}}\right]\\\Rightarrow E=3.94869\times 10^{-13}\ J\\\Rightarrow E=\dfrac{3.94869\times 10^{-13}}{1.6\times 10^{-13}}\\\Rightarrow E=2.467\ MeV](https://tex.z-dn.net/?f=E%3Dmc%5E2%5Cleft%5B%5Cdfrac%7B1%7D%7B%5Csqrt%7B1-%5Cdfrac%7Bv%5E2%7D%7Bc%5E2%7D%7D%7D-%5Cdfrac%7B1%7D%7B%5Csqrt%7B1-%5Cdfrac%7Bu%5E2%7D%7Bc%5E2%7D%7D%7D%5Cright%5D%5C%5C%5CRightarrow%20E%3D9.11%5Ctimes%2010%5E%7B-31%7D%5Ctimes%20%283%5Ctimes%2010%5E8%29%5E2%5Cleft%5B%5Cdfrac%7B1%7D%7B%5Csqrt%7B1-%5Cdfrac%7B0.99%5E2c%5E2%7D%7Bc%5E2%7D%7D%7D-%5Cdfrac%7B1%7D%7B%5Csqrt%7B1-%5Cdfrac%7B0.898%5E2c%5E2%7D%7Bc%5E2%7D%7D%7D%5Cright%5D%5C%5C%5CRightarrow%20E%3D3.94869%5Ctimes%2010%5E%7B-13%7D%5C%20J%5C%5C%5CRightarrow%20E%3D%5Cdfrac%7B3.94869%5Ctimes%2010%5E%7B-13%7D%7D%7B1.6%5Ctimes%2010%5E%7B-13%7D%7D%5C%5C%5CRightarrow%20E%3D2.467%5C%20MeV)
The energy required is 2.467 MeV
Answer:
A.) 1.3 seconds
B.) 0.42 m
Explanation:
A.) You are given the angle of projection to be 40 degrees and initial velocity of 20m/s.
At vertical component
U = Usin 40 that is,
U = 20sin40
Using the first equation of motion under gravity
V = U - gt
Let V = 0
0 = UsinØ - gt
gt = UsinØ
t = UsinØ/g
Where U = 20 m/s
Ø = 40 degree
g = 9.8 m/s^2
Substitutes all the parameters into the formula
t = 20sin40/9.8
t = 1.3 seconds
Total time of flight T = 2t
T = 2 × 1.3 = 2.6 s
B.) To calculate the maximum height,
You will use the formula
V^2 = U^2 - 2gH
At maximum height, V = 0
2gH = Usin^2Ø
H = Usin^2Ø/ 2g
Substitutes all the parameters into the formula
H = 20 sin^2(40) ÷ 2(9.8)
H = 8.2635/19.6
H = 0.42 m
Answer:
heterotrophs
Explanation:
According to the parameters established by biology, all living beings that require others to feed themselves are considered heterotrophs, that is, they are not able to produce their food within their organism but rather they must consume elements of nature already constituted as food, already synthesized by other organisms. Among the most prominent heterotrophs, all animals, bacteria and humans stand out.
The term heterotroph comes from the Greek, language in which the prefix hetero means different and trophies means food. In this way, the heterotroph is one that feeds on elements other than one, which takes elements from nature, from the surrounding space to feed. While autotrophic beings have the ability to synthesize inorganic elements such as light, water, carbon dioxide and convert them into food; Heterotrophic beings do not have that capacity, so they must consume plants (in the case that they are herbivores) or animals that have already consumed those plants (that is, in the case that they are carnivorous). In other words, animals and humans always need to feed on other living beings, they could never do so only from inorganic elements such as water.
Answer: A) 
Explanation:
The equation for the moment of inertia 
of a sphere is:
(1)
Where:
is the moment of inertia of the planet (assumed with the shape of a sphere)
is the mass of the planet
is the radius of the planet
Isolating from (1):
(2)
Solving:
(3)
Finally:
Therefore, the correct option is A.
