Answer: [B]: "power is the rate at which work is done" .
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Answer:
![23^{\circ}](https://tex.z-dn.net/?f=23%5E%7B%5Ccirc%7D)
Explanation:
n = Refractive index of air = 1
= Refractive index of contact lens = 1.6
= Refractive index of cornea = 1.4
= Refractive index of fluid = 1.3
From Snell's law
![n\sin30^{\circ}=n_1\sin\theta\\\Rightarrow \theta=\sin^{-1}\dfrac{1\sin30^{\circ}}{1.6}\\\Rightarrow \theta=18.21^{\circ}](https://tex.z-dn.net/?f=n%5Csin30%5E%7B%5Ccirc%7D%3Dn_1%5Csin%5Ctheta%5C%5C%5CRightarrow%20%5Ctheta%3D%5Csin%5E%7B-1%7D%5Cdfrac%7B1%5Csin30%5E%7B%5Ccirc%7D%7D%7B1.6%7D%5C%5C%5CRightarrow%20%5Ctheta%3D18.21%5E%7B%5Ccirc%7D)
![n_1\sin\theta=n_2\sin\theta_1\\\Rightarrow \theta_{1}=\sin^{-1}\dfrac{1.6\times \sin18.21^{\circ}}{1.4}\\\Rightarrow \theta_1=20.92^{\circ}](https://tex.z-dn.net/?f=n_1%5Csin%5Ctheta%3Dn_2%5Csin%5Ctheta_1%5C%5C%5CRightarrow%20%5Ctheta_%7B1%7D%3D%5Csin%5E%7B-1%7D%5Cdfrac%7B1.6%5Ctimes%20%5Csin18.21%5E%7B%5Ccirc%7D%7D%7B1.4%7D%5C%5C%5CRightarrow%20%5Ctheta_1%3D20.92%5E%7B%5Ccirc%7D)
![n_2\sin\theta_1=n_3\sin\theta_3\\\Rightarrow \theta_3=\sin^{-1}\dfrac{1.4\sin20.92^{\circ}}{1.3}\\\Rightarrow \theta_3=22.62^{\circ}\approx 23^{\circ}](https://tex.z-dn.net/?f=n_2%5Csin%5Ctheta_1%3Dn_3%5Csin%5Ctheta_3%5C%5C%5CRightarrow%20%5Ctheta_3%3D%5Csin%5E%7B-1%7D%5Cdfrac%7B1.4%5Csin20.92%5E%7B%5Ccirc%7D%7D%7B1.3%7D%5C%5C%5CRightarrow%20%5Ctheta_3%3D22.62%5E%7B%5Ccirc%7D%5Capprox%2023%5E%7B%5Ccirc%7D)
The angle is the light traveling in the fluid behind her cornea is
.
True ( I think ) ............................
Answer:
The mass of the asteroids is 0.000334896182184 times the mass of the Earth.
39929.4542466 m
Explanation:
Total mass of the asteroids
![m_a20000\times 10^{17}=2\times 10^{21}\ kg](https://tex.z-dn.net/?f=m_a20000%5Ctimes%2010%5E%7B17%7D%3D2%5Ctimes%2010%5E%7B21%7D%5C%20kg)
= Mass of Earth = ![5.972\times 10^{24}\ kg](https://tex.z-dn.net/?f=5.972%5Ctimes%2010%5E%7B24%7D%5C%20kg)
The ratio is
![\dfrac{m_a}{m_e}=\dfrac{2\times 10^{21}}{5.972\times 10^{24}}\\\Rightarrow \dfrac{m_a}{m_e}=0.000334896182184](https://tex.z-dn.net/?f=%5Cdfrac%7Bm_a%7D%7Bm_e%7D%3D%5Cdfrac%7B2%5Ctimes%2010%5E%7B21%7D%7D%7B5.972%5Ctimes%2010%5E%7B24%7D%7D%5C%5C%5CRightarrow%20%5Cdfrac%7Bm_a%7D%7Bm_e%7D%3D0.000334896182184)
The mass of the asteroids is 0.000334896182184 times the mass of the Earth.
Volume is given by
![V=\dfrac{m}{\rho}\\\Rightarrow \dfrac{4\pi}{3\times 8} d^3=\dfrac{m}{\rho}\\\Rightarrow d^3=\dfrac{3\times 8}{4\pi}\dfrac{m}{\rho}\\\Rightarrow d=(\dfrac{3\times 8}{4\pi}\dfrac{m}{\rho})^{\dfrac{1}{3}}\\\Rightarrow d=(\dfrac{3\times 8}{4\pi}\dfrac{10^{17}}{3000})^{\dfrac{1}{3}}\\\Rightarrow d=39929.4542466\ m](https://tex.z-dn.net/?f=V%3D%5Cdfrac%7Bm%7D%7B%5Crho%7D%5C%5C%5CRightarrow%20%5Cdfrac%7B4%5Cpi%7D%7B3%5Ctimes%208%7D%20d%5E3%3D%5Cdfrac%7Bm%7D%7B%5Crho%7D%5C%5C%5CRightarrow%20d%5E3%3D%5Cdfrac%7B3%5Ctimes%208%7D%7B4%5Cpi%7D%5Cdfrac%7Bm%7D%7B%5Crho%7D%5C%5C%5CRightarrow%20d%3D%28%5Cdfrac%7B3%5Ctimes%208%7D%7B4%5Cpi%7D%5Cdfrac%7Bm%7D%7B%5Crho%7D%29%5E%7B%5Cdfrac%7B1%7D%7B3%7D%7D%5C%5C%5CRightarrow%20d%3D%28%5Cdfrac%7B3%5Ctimes%208%7D%7B4%5Cpi%7D%5Cdfrac%7B10%5E%7B17%7D%7D%7B3000%7D%29%5E%7B%5Cdfrac%7B1%7D%7B3%7D%7D%5C%5C%5CRightarrow%20d%3D39929.4542466%5C%20m)
The diameter is 39929.4542466 m
Answer:
See the explanation below
Explanation:
This happens because the coffee was at rest, at the time when the car accelerates to move forward the container containing the coffee also accelerates in the same direction, the liquid when moving suddenly spills. The same will happen if the car slows down, any sudden movement changes will cause the coffee to spill, understood by sudden movements when it accelerates or slows down.