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.

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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.
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Step 1

Given information:

Mass of the person (m) = 260 lbs =

Mass of planet X (Mx) = 1.9 Me

Where “Me” is mass of planet earth.

Density of the earth given (ρe) = 5288 kg/m3

Let “Rx” be the radius of the planet,

“ρx” be the density of the planet,

“Re” 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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