Question

Asked Oct 22, 2019

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A person weighing 260 lbs on the surface of Earth exerts the same force on a bathroom scale on the surface of Planet X whose mass is 1.9 x Earth's mass. Assume the average density of Earth is 5488 kg/cu.m. determine the density of Planet X in kg/cu.m. |

Step 1

**Given information:**

Mass of the person (m) = 260 lbs =

Mass of planet X (M_{x}) = 1.9 M_{e}

Where “M_{e}” is mass of planet earth.

Density of the earth given (ρ_{e}) = 5288 kg/m^{3}

Let “R_{x}” be the radius of the planet,

“ρ_{x}” be the density of the planet,

“R_{e}” be the radius of earth,

“g” is acceleration due to gravity on earth = 9.81 m/s

Step 2

Given force exerted by the person on the earth and the planet X is same. Prom Newton law of gravity we can write:

Step 3

Given tha...

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