Respuesta :
An astronaut of mass 60 kg is walking on the surface of a new planet. If their weight (in N) is twice their weight on earth, the mass of the planet if it has the same radius as earth (R earth = 6.37 x [tex]10^{6}[/tex] m) is 11.94×[tex]10^{24}[/tex] kg.The mass of earth is 5.97 x [tex]10^{24}[/tex] kg.
How to calculate?
For earth:-
mass=[tex]m_{e}[/tex]
radius=[tex]R_{e}[/tex]
mass of astronaut,M=60 kg
Gravitational force,[tex]F_{e}[/tex]=G[tex]\frac{m_{e}M }{R_{e} ^{2}}[/tex] (1)
For planet:-
mass=[tex]m_{p}[/tex]
radius=[tex]R_{e}[/tex]
[tex]F_{p}[/tex]=G[tex]\frac{m_{p}M }{R_{e} ^{2}}[/tex] , [tex]F_{p}[/tex]=2[tex]F_{e}[/tex] (2)
Dividing equation (2) by equation (1),we have
[tex]m_{p}[/tex]=2[tex]m_{e}[/tex]=2×5.97×[tex]10^{24}[/tex]=11.94×[tex]10^{24}[/tex] kg
What is gravitational force?
Gravitational force is a force exerted by the earth on all objects on it. When a ball is thrown up, it falls to the ground because of gravitational force.
Fo more about Gravitational force visit the link:
https://brainly.com/question/24783651
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