Answer:
C ) 1.53
Explanation:
The critical angle of a material is given by the formula
![sin c = \frac{1}{n}](https://tex.z-dn.net/?f=sin%20c%20%3D%20%5Cfrac%7B1%7D%7Bn%7D)
where
c is the critical angle
n is the refractive index
This formula is valid if the second medium is air (which is the case of the problem).
In this problem, we know the critical angle:
![c=40.8^{\circ}](https://tex.z-dn.net/?f=c%3D40.8%5E%7B%5Ccirc%7D)
Therefore we can rearrange the equation to find the refractive index:
![n=\frac{1}{sin c}=\frac{1}{sin 40.8^{\circ}}=1.53](https://tex.z-dn.net/?f=n%3D%5Cfrac%7B1%7D%7Bsin%20c%7D%3D%5Cfrac%7B1%7D%7Bsin%2040.8%5E%7B%5Ccirc%7D%7D%3D1.53)
Answer:
Gobernancia. ...
Compromiso con el mercado. ...
Seguridad. ...
Infraestructura. ...
Imperio de la ley. ...
Capital humano. ...
Gestión Financiera Pública. ...
Compromiso ciudadano.
Explanation:
Answer:
The angle of projection is 12.26⁰.
Explanation:
Given;
initial position of the dart, h₀ = 1.50 m
height above the ground reached by the dart, h₁ = 1.73 m
maximum height reached by the dart, Hm = h₁ - h₀ = 1.73 m - 1.50 m= 0.23 m
velocity of the dart, u = 10 m/s
The maximum height reached by the projectile is calculated as;
![H_m = \frac{u^2sin^2 \theta}{2g}](https://tex.z-dn.net/?f=H_m%20%3D%20%5Cfrac%7Bu%5E2sin%5E2%20%5Ctheta%7D%7B2g%7D)
where;
θ is angle of projection
g is acceleration due to gravity = 9.8 m/s²
![H_m = \frac{u^2sin^2 \theta}{2g}\\\\sin^2 \theta = \frac{H_m \ \times \ 2g}{u^2} \\\\sin^2 \theta = \frac{0.23 \ \times \ 2(9.8)}{10^2} \\\\sin ^2\theta =0.04508\\\\sin \theta = \sqrt{0.04508} \\\\sin \theta = 0.2123\\\\\theta = sin^{-1}(0.2123)\\\\\theta = 12.26^0](https://tex.z-dn.net/?f=H_m%20%3D%20%5Cfrac%7Bu%5E2sin%5E2%20%5Ctheta%7D%7B2g%7D%5C%5C%5C%5Csin%5E2%20%5Ctheta%20%3D%20%5Cfrac%7BH_m%20%5C%20%5Ctimes%20%5C%202g%7D%7Bu%5E2%7D%20%5C%5C%5C%5Csin%5E2%20%5Ctheta%20%3D%20%5Cfrac%7B0.23%20%5C%20%5Ctimes%20%5C%202%289.8%29%7D%7B10%5E2%7D%20%5C%5C%5C%5Csin%20%5E2%5Ctheta%20%3D0.04508%5C%5C%5C%5Csin%20%5Ctheta%20%3D%20%5Csqrt%7B0.04508%7D%20%5C%5C%5C%5Csin%20%5Ctheta%20%3D%200.2123%5C%5C%5C%5C%5Ctheta%20%20%3D%20sin%5E%7B-1%7D%280.2123%29%5C%5C%5C%5C%5Ctheta%20%20%3D%2012.26%5E0)
Therefore, the angle of projection is 12.26⁰.
The answer is B 1,500 meters since 1 kilometer to meters is 1,000 and u add the 500
Answer:
Positive velocity and negative acceleration
Explanation:
An object moving in the positive direction has a positive velocity.
An object that's slowing down while moving in the positive direction has a negative acceleration.