If a 50.0-kg mass weighs 554 n on the planet saturn, calculate saturn’s radius

The radius of the saturn is 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  

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,  

Therefore, the radius of the saturn is if  a 50.0-kg mass weighs 554 N.

To know more about Newton's law of gravitation

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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

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