Physics, 20.02.2020 03:37 yhhh

Deimos completes one (circular) orbit of Mars in 1.26 days. The distance from Mars to Deimos is 2.35×107m. What is the centripetal acceleration of Deimos?

Answers: 2

Show answers

Answers

Answer from: chaseashley24

The centripetal acceleration of Deimos is $0.077m/s^{2}$ .

Explanation:

The centripetal acceleration is defined as:

$a = \frac{v^{2}}{r}$ (1)

Where v is the velocity of Deimos and r is the orbital distance.

Notice that is necessary to determine the velocity first.

The speed of the Deimos can be found by means of the Universal law of gravity:

$F = G\frac{M \cdot m}{r^{2}}$ (2)

Then, replacing Newton's second law in equation 2 it is gotten:

$m\cdot a = G\frac{M \cdot m}{r^{2}}$ (3)

However, a is the centripetal acceleration since Deimos almost describes a circular motion around Mars:

$a = \frac{v^{2}}{r}$ (4)

Replacing equation 4 in equation 3 it is gotten:

$m\frac{v^{2}}{r} = G\frac{M \cdot m}{r^{2}}$

$m \cdot v^{2} = G \frac{M \cdot m}{r^{2}}r$

$m \cdot v^{2} = G \frac{M \cdot m}{r}$

$v^{2} = G \frac{M \cdot m}{rm}$

$v^{2} = G \frac{M}{r}$

$v = \sqrt{\frac{G M}{r}}$ (5)

Where v is the orbital speed, G is the gravitational constant, M is the mass of Mars, and r is the orbital radius.

$v = \sqrt{\frac{(6.67x10^{-11}N.m^{2}/kg^{2})(6.39x10^{23}kg)}{2.35x10^{7}m}}$

v = 1346m/s

Finally, equation 4 can be used:

$a = \frac{(1346m/s)^{2}}{2.35x10^{7}m}$

$a = 0.077m/s^{2}$

Hence, the centripetal acceleration of Deimos is $0.077m/s^{2}$ .

Answer from: Quest

an electric circuit

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.

Another question on Physics

Physics, 22.06.2019 04:00

If steel is more dense that lake water, why can a boat float

Answers: 1

Answer

Physics, 22.06.2019 15:30

What are the similarities & differences between a thermistor and a light dependent resistor in physics?

Answers: 1

Answer

Physics, 22.06.2019 20:30

You are doing a science experiment with a fahrenheit thermometer. your data must be in degrees celsius. if you measure a temperature of 125°f, what is this temperature in degrees celsius

Answers: 1

Answer

Physics, 23.06.2019 01:00

What ions are formed when hcl dissolves in water?

Answers: 1

Answer

You know the right answer?

Deimos completes one (circular) orbit of Mars in 1.26 days. The distance from Mars to Deimos is 2.35...

Questions