Physics, 18.05.2021 18:50 whiterm04

Deimos's Orbit. Deimos orbits Mars at a distance of 23,460 km from the center of the planet and has a period of 1.263 days. Assume that Deimos's orbit is circular. Calculate the mass of Mars. Express your answer in units of kg. (Hint: Use the circular orbit velocity formula ; remember to use units of meters, kilograms, and seconds.) Please round the answer to four significant digits.

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Answer from: marialuis2732

M = 5.882 10²³ kg

Explanation:

Let's use Newton's second law to analyze the satellite orbit around Mars.

F = m a

force is universal attraction and acceleration is centripetal

a = v²/ R

the modulus of velocity in a circular orbit is constant

v= d/T

the distance of the cicule is

d =2pi R

a = 2pi R/T

we substitute

- G m M / R² = m ( $- \frac{4\pi^2 R^2 }{T^2 R}$ )

G M = $\frac{ 4\pi ^2 R^3 }{T^2 }$

M = $\frac{4 \pi ^2 R^3 }{ G T^2 }$

the distance R is the distance from the center of the planet Mars to the center of the satellite Deimos

R = 23460 km = 2.3460 10⁷ m

the period of the orbit is

T = 1,263 days = 1,263 day (24 h / 1 day) (3600s / h)

T = 1.0912 10⁵ s

let's calculate

M = $\frac{4 \pi ^2 ( 2.3460 \ 10^7)^3 }{5.67 10^{-11} \ (1.0912 \ 10^5)^2 }$

M = 509.73418 10²¹ /8.66640 10⁻¹

M = 58.817 10²² kg

M = 5.882 10²³ kg

Answer from: Quest

0.3x0.21x0.08kg=mass 1 sheet

mass 500 = 500xmass 1

volume pile = 0.3x0.2x0.048

density=mass/volume= 500xmass 1/0.3x0.2x0.048

v patient student

Answer from: Quest

scattering of light by tiny particles in air to produce the colors we see on sky, is dependent on the following factors:

(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.

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Deimos's Orbit. Deimos orbits Mars at a distance of 23,460 km from the center of the planet and has...

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