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Alexxandr [17]
3 years ago
7

Calculate the total force on the Earth due to Venus, Jupiter, and Saturn, assuming all four planets are in a line. The masses ar

e Mv=0.815ME, MJ=318ME, Msat=95.1ME, Msun=1.99x10^30kg, ME=5.98x10^24kg and the mean distances of the four planets from the Sun are 108, 150, 778, and 1430 million km. Apparently the answer is 9.56x10^17 N but I'm not sure how to get to that .-.,
Physics
2 answers:
Advocard [28]3 years ago
6 0

Answer: Total Force = 9.56*10^{17}

Explanation:

Line points are:  Sun - Venus - Earth - Jupiter - Saturn

Newton's law of universal gravitation states that every particle attracts every other particle in the universe with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers. This means:

F=G\frac{m_{1} m_{2}}{r^{2} }

Where,

G is the gravitational constant,

m1 and m2 are the masses of the objects,

and r is the distance between the centers of their masses.

So, if G value is 6.674*10^{-11}  [\frac{m^{3}}{kg*s^{2}}], then we replace the equation with the corresponding values:

F=6.674*10^{-11} (-\frac{0.815ME^{2}}{(4.2*10^{10})^{2}} + \frac{318ME^{2}}{(6.28*10^{11})^{2}} + \frac{95.1ME^{2}}{(1.28*10^{12})^{2}})

To get the distances we subtract the distances between the sun and earth and the distances between the other planets and the sun.

Furkat [3]3 years ago
3 0
You need to consider the following:
Me (mass of Earth) = 5.98 x 10^24 kg 
<span>Ms (mass of Sun) = 1.99 x 10^30 kg </span>
<span>G = 6.67 x 10^-11 N </span>
<span>
Formula:
 F = G * M1M2/r^2 
</span><span>The ratio FT/F = 4.02x10^-4 / 14.8
 = 2.72x10^-5 
</span><span>
Since,
1/2.72x10^-5 = 36800
The fraction ratio is  1/36800
</span>= <span>9.56x10^17 N</span>
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