The mass of Venus is [tex]4.87\cdot 10^{24}kg[/tex]
Explanation:
The gravitational acceleration at the surface of a planet is given by:
[tex]g=\frac{GM}{R^2}[/tex]
where:
[tex]G=6.67\cdot 10^{-11} m^3 kg^{-1}s^{-2}[/tex] is the gravitational constant
M is the mass of the planet
R is the radius of the planet
For Venus, we know that:
[tex]R=6.05\cdot 10^6 m[/tex] is the radius of the planet
[tex]g=8.87 m/s^2[/tex] is the gravity at the surface
Solving the equation for M, we find Venus mass:
[tex]M=\frac{gR^2}{G}=\frac{(8.87)(6.05\cdot 10^6)^2}{6.67\cdot 10^{-11}}=4.87\cdot 10^{24}kg[/tex]
Learn more about gravity:
brainly.com/question/1724648
brainly.com/question/12785992
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