What is the biggest planet in the solar system

A moon orbits a planet every 42 hours with a mean orbital radius of .002819 AU. The mass of the moon is 8.932 x 1022 kg. Using N

Pepsi [2]

Answer:

The mass of the planet is $1.9407\times10^{27}\ kg$

Explanation:

Given that,

Time period = 42 hours = 151200 sec

Orbital radius = 0.002819 AU = 421716397.5 m

Mass of moon $m=8.932\times10^{22}\ kg$

We need to calculate the mass of the planet

Using Kepler’s third law

$T^2\propto a^3$

$T^2=\dfrac{4\pi^2}{G(M+m)}\times a^3$

Where, a = orbital radius

T = time period

G = gravitational constant

M = mass of moon

m = mass of planet

Put the value into the formula

$(151200)^2=\dfrac{4\pi^2}{6.673\times10^{-11}(8.932\times10^{22}+m)}\times(421716397.5)^3$

$(8.932\times10^{22}+m)=\dfrac{4\pi^2}{6.673\times10^{-11}}\times\dfrac{(421716397.5)^3}{(151200)^2}$

$(8.932\times10^{22}+m)=1.94087\times10^{27}$

$m=1.94087\times10^{27}-8.932\times10^{22}$

$m=1.9407\times10^{27}\ kg$

Hence, The mass of the planet is $1.9407\times10^{27}\ kg$

8 0

4 years ago

The apparent visual magnitude of a star is 7.3. This tells us that the star is _______.

fredd [130]

Answer:

Option (B)

Explanation:

In the field of astronomy, the magnitude scale of star is usually defined as a logarithmic scale that measures the brightness of the star, and this directly the relative distance from the earth. This magnitude value is dependent on the two main factors, namely the its brightness and the distance from a fixed point.

The given visual magnitude of a star is 7.3, and is comparatively very less brighter. This shows a relatively very large distance from the earth and due to this large distance and low luminousity, this star is not visible to our naked eye.

Thus, the correct answer is option (B).

8 0

4 years ago

A beam of light with a frequency range from 3.01 × 10 14 Hz to 6.10 × 10 14 Hz is incident on a metal surface. If the work funct

Sever21 [200]

Answer:

The maximum kinetic energy of the photoelectrons ejected from the surface is 5.22×10^-20 J.

Explanation:

let h = 6.626×10^-34 J×s be the planck constant.

let f be the frequency of light.

let Ф = 2.20×1.60×10^-19 = 3.52×10^-19 J be the work function.

then, the relationship between the kinetic energy of photoelectrons K, the energy provided by the light E and the work function of the material is given by:

K = h×f - Ф

= (6.626×10^-34)×(6.10×10^14) - 3.52×10^-19

= 5.22×10^-20 J

Therefore, the maximum kinetic energy of the photoelectrons ejected from the surface is 5.22×10^-20 J.

5 0

3 years ago

Enter a value of 3/4 of a full rotation

solmaris [256]

Answer:

270°

Explanation:

A full rotation is 360° so half (2/4) of it is 180° meaning a quarter (1/4) is 90°

So you can do 90+90+90=270

or 180+90=270

6 0

3 years ago

PLZZZZ HELPPPPPP MEEEEEE!!!!!! ASAP!!! ILL GIVE 20 POINTS AND BRAINLIEST!!!

Snowcat [4.5K]

Answer:

the answers the correct one is C

Explanation:

In radioactive decay processes, a very important concept is the half-life time, which is the time it takes for the parent nuclei to decompose into child nuclei.

expressed this mathematically is

N = N₀ $e^{- \lambda t}$

for the average life time

N₀ / 2 = N₀ $e^{- \lambda T_{1/2}$

T = $\frac{ln 2x}{ \lambda}$

Analyzing this expression, the nuclei that decay are the so-called parents and the new nuclei called children appear.

when checking the answers the correct one is C

3 0

3 years ago