La componente x de un desplazamiento es de 450m. Calcular el vector resultante del desplazamiento si este forma un angulo de 70º con dicha componente ¿ cual esel valor de componente y?

Magnitude of the displacement = 1315.71 m

el vector resultante del desplazamiento = 1315.71 m

y-component of the displacement = 1236.36 m

cual esel valor de componente y = 1236.36 m

Explanation:

English translation of the question.

The x component of a displacement is 450 m. Calculate the displacement if it forms an angle of 70 ° with this component. Calculate the value of the y-component?

If the magnitude of the displacement = d

The displacement vector = (dₓ, dᵧ)

dₓ = d cos θ

dᵧ = d sin θ

where θ is the angle that the vector makes with the x-axis.

dₓ = 450 m

θ = 70°

dₓ = d cos θ

450 = d × cos 70

d = 1315.71 m

dᵧ = d sin θ

dᵧ = 1315.71 × sin 70°

dᵧ = 1236.36 m

Hope this Helps!!!

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(i) wavelength of light

(ii) size of the scattering particle  

(iii) distance traveled by light through the atmosphere.

according to rayleigh's law of scattering, the amount of scattering is inversely proportional to the fourth power of its wavelength. shorter the wavelength, greater is its scattering. hence violet/blue light is scattered more than red.

sun's light is a composite light ( visible light) with wavelengths in the range 400 nm (violet) to 700 nm (red). as sunlight passes through our atmosphere, the molecules of air scatter light according to their wavelengths. during sunrise and sunset, the sun's position is below the horizon. hence light from the sun travels a greater distance in the atmosphere when compared to its position a noon.

as sunlight enters the earth's atmosphere, blue light is scattered away and at the end of its journey in the sky, only red and orange wavelengths remain in the beam.

hence at sunrise and sunset, the sky appears reddish orange.