 # Question regarding calculating acceleration due to gravity on planet Mercury I was asked to calcul syaoronsangelhwc17 2022-05-10 Answered
Question regarding calculating acceleration due to gravity on planet Mercury
I was asked to calculate the acceleration due to gravity on planet Mercury, if the mas of Mercury is $2,99×{10}^{22}kg$ and its radius is . The mass of the object is $10kg$ and the mass of Earth is $6×{10}^{24}kg$ and the Radius of the Earth is $3,82×{10}^{3}km$
This question rather puzzled me because I was not sure if my answer is correct or not but let me proceed :
$\stackrel{\to }{F}=m\stackrel{\to }{a}={F}_{g}=G\frac{{m}_{1}{m}_{2}}{{r}^{2}}$
${m}_{1}g=G\frac{{m}_{1}{m}_{2}}{{r}^{2}}$
(Note that ${m}_{2}$ = mass of mercury)

I compute my answer to be $0.34\frac{m}{{s}^{2}}$
What really is confusing me is that when I look at my textbook, it shows me the gravitational acceleration due to gravity on mercury to be $3.59\frac{m}{{s}^{2}}$
Can someone please explain to me what the answer that I am getting is giving me? My computation was marked correct in a test but I do not understand what this value is giving me.
You can still ask an expert for help

• Questions are typically answered in as fast as 30 minutes

Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it odvucimo1pp17
That value for the mass of Mercury is not correct.
The correct value is $3.3×{10}^{23}$ kg.