Captain Picard beams down to a previously unexplored planet. The planet has four times the mass of Earth, and twice the radius. If the force of gravity on the surface of Earth is represented by "g," what is the force of gravity on the surface of the new planet?
A. g
B. 2g
C. 4g
D. 8g


Answer :

The force of gravity on the surface of the new planet is g

Option A is correct

The force of gravity on the surface of the new planet

Force of gravity: the force of gravity speaks to the force that acts on every body that exists under a given space or planet.

The force of gravity acts on masses to create weight.

W=mg

Generally the equation for the Force of gravity is  mathematically given as

[tex]g=\frac{Gme}{Re^2}\\\\Therefore\\\\g'=\frac{G*4Me}{2Re^2}\\\\g=4/4\frac{GMe}{Re^2}\\\\[/tex]

g=1g

Therefore, the force of gravity on the surface of the new planet is g

Option A is correct

For more information on Force

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