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The table shows data for four planetary bodies. If your mass is 68.05 kg, howmuch gravitational force would you experience on the surface of Mercury?Newton's law of gravitation is F gravity=Gmma. The gravitational constantGis 6.67 × 10-11 N-m2/C?. (For the purposes of calculating the gravitationalforce between a planet and an object on its surface, the distance r is theradius of the planet.)

The table shows data for four planetary bodies If your mass is 6805 kg howmuch gravitational force would you experience on the surface of MercuryNewtons law of class=

Respuesta :

Given that the mass, m = 68.05 kg and the mass of mercury is

[tex]M\text{ = 3.3}\times10^{23}\text{ kg}[/tex]

The radius of mercury is

[tex]R=\text{ 2.44 }\times10^6\text{ m}[/tex]

The gravitational constant is

[tex]G=6.67\times\frac{10^{-11}Nm^2}{\operatorname{kg}^2}[/tex]

The gravitational force on the surface of mercury will be

[tex]F=\frac{\text{GMm}}{r^2}[/tex]

Substituting the values, the gravitational force will be

[tex]\begin{gathered} F=\frac{6.67\times10^{-11}\times3.3\times10^{23}\times68.05\text{ }}{(2.44\times10^6)^2} \\ =251.58\text{ N} \end{gathered}[/tex]

The gravitational force will be 251.58 N

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