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Sagot :
Answer:
17.35 × 10^(-6) m
Explanation:
Mass; m = 50 kg
Weight; W = 554 N
Now, we know that;
W = mg
Thus; 554 = 50g
g = 554/50
g = 11.08 m/s²
Also, we know that;
mg = GMm/r²
g = GM/r²
Making t the subject gives;
r = √(GM/g)
G has a constant value of 6.67 × 10^(-11) Nm²/kg²
r = √(6.67 × 10^(-11) × 50/11.08)
r = 17.35 × 10^(-6) m
The radius of the saturn is [tex]\bold {17.35 x 10^{-6 }m}[/tex] if a 50.0-kg mass weighs 554 N.
From Newton's second law,
W = mg
554 = 50 x g
g = 554/50
g = 11.08 m/s²
Now, Newton's law of gravitation
[tex]\bold {F=G{\dfrac{m_1m_2}{r^2}}}[/tex]
Where,
F = force
G = gravitational constant = 6.67 x 10^-11 N.m²/kg²
m1 & m2= mass = M = 50 kg
r = distance between centers of the masses
Put the values and solve it for r,
[tex]\bold {r = \sqrt {(6.67 x10^{-11} \times \dfrac {50}{11.08}}}\\\\\bold {r = 17.35 x 10^{-6 }m}[/tex]
Therefore, the radius of the saturn is [tex]\bold {17.35 x 10^{-6 }m}[/tex] if a 50.0-kg mass weighs 554 N.
To know more about Newton's law of gravitation
https://brainly.com/question/9373839
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