Answer:
Reflection is simply the property of a light that rebounds or bounces back after hitting a surface.
Refraction is when the light, which passes through a surface, undergoes some changes in appearance whenever it usually passes through a medium.
Answer:
a. V=11.84 m/s
b.x=0.052m
Explanation:
a).
Given
,
, 
.
b).
No friction on the ball so:
-- If there are only <em>10</em> elements in the universe that can make compound molecules, and a compound molecule can be formed by combining 1, 2, 3, or 4 different elements, then that's already the possibility of at least 400 different molecules.
-- There are many more than 10 elements that can combine to form compound molecules.
-- Every single "<em>organic</em>" molecule, of which there are thousands, is the combination of <em>carbon</em> with other elements.
-- Most all of the substances that can be distilled out of oil, including the paraffin waxes, the alcohols, gasoline, kerosene, butane, propane, octane, and natural gas, are made of just carbon, hydrogen, and oxygen, only with different numbers of each one.
-- Plastics, drugs, rubber, and DNA are examples of molecules that are made of <em>hundreds</em> of atoms.
Answer:
z = 1.16m
Explanation:
The electric field in a point of the axis of a charged ring, and perpendicular to the plane of the ring is given by:
z: distance to the plane of the ring
r: radius of the ring
Q: charge of the ring
you have that:
E_{z->0} = 0
E_{z->∞} = 0
To find the value of z that maximizes E you use the derivative respect to z, and equals it to zero:
![\frac{dE_z}{dz}=Q[\frac{1}{(z^2+r^2)^{3/2}}+z(-\frac{3}{2})\frac{1}{(z^2+r^2)^{5/2}}(2z)]=0\\\\(z^2+r^2)^{5/2}=3z^2(z^2+r^2)^{3/2}\\\\(z^2+r^2)^2=3z^4\\\\z^4+2z^2r^2+r^4=3z^4\\\\2z^4-2z^2r^2-r^4=0\\\\z^2_{1,2}=\frac{-(-2)+-\sqrt{4-4(2)(-1)}}{2(2)}=\frac{2\pm 3.464}{4}\\\\](https://tex.z-dn.net/?f=%5Cfrac%7BdE_z%7D%7Bdz%7D%3DQ%5B%5Cfrac%7B1%7D%7B%28z%5E2%2Br%5E2%29%5E%7B3%2F2%7D%7D%2Bz%28-%5Cfrac%7B3%7D%7B2%7D%29%5Cfrac%7B1%7D%7B%28z%5E2%2Br%5E2%29%5E%7B5%2F2%7D%7D%282z%29%5D%3D0%5C%5C%5C%5C%28z%5E2%2Br%5E2%29%5E%7B5%2F2%7D%3D3z%5E2%28z%5E2%2Br%5E2%29%5E%7B3%2F2%7D%5C%5C%5C%5C%28z%5E2%2Br%5E2%29%5E2%3D3z%5E4%5C%5C%5C%5Cz%5E4%2B2z%5E2r%5E2%2Br%5E4%3D3z%5E4%5C%5C%5C%5C2z%5E4-2z%5E2r%5E2-r%5E4%3D0%5C%5C%5C%5Cz%5E2_%7B1%2C2%7D%3D%5Cfrac%7B-%28-2%29%2B-%5Csqrt%7B4-4%282%29%28-1%29%7D%7D%7B2%282%29%7D%3D%5Cfrac%7B2%5Cpm%203.464%7D%7B4%7D%5C%5C%5C%5C)
you take the positive value:
hence, the distance in which the magnitude if the electric field is maximum is 1.16m
