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The sun has a mass of 1.99x10^30 kg and a radius of 6.955x10^8 m. What would be the weight of a 74.7 kg astronaut if she could stand on the surface of the sun?

Sagot :

In order to calculate the weight of the astronaut, let's use the formula for the gravitational force:

[tex]F=\frac{G*M*m}{d^2}[/tex]

Where G is the gravitational constant (G = 6.67 * 10^-11), M is the greater mass, m is the smaller mass and d is the distance between the masses.

So we have:

[tex]\begin{gathered} F=\frac{6.67*10^{-11}*1.99*10^{30}*74.7}{\left(6.955*10^8\right)^2} \\ F=\frac{991.5155*10^{19}}{48.372025*10^{16}} \\ F=20.4977*10^3 \\ F=20497.7\text{ N} \end{gathered}[/tex]

Therefore the weight of the astronaut is 20497.7 N.

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