Asubmersible robot is exploring one of the methane seas on titan, saturn's largest moon. it discovers a number of small spherical structures on the bottom of the sea at depth of 6 meters [m], and selects one for analysis. the sphere selected has a volume of 2.1 cubic centimeters [cm3] and a density of 2.21 grams per cubic centimeter [g/cm3]. when the rock is returned to earth for analysis, what is the weight of the sphere in newtons [n]? gravity on titan is 1.352 meters per second squared [m/s2]. the density of methane is 0.712 grams per liter [g/l].

0.0454 N

Explanation:

Weight is defined as the force with which a planet (or moon, or massive body) attracts a body or object by the action of gravity force. Mathematically is expressed as:

(1)

Where:

is the mass of the object

on Earth

Now, in this problem we are asked to find the weight of a spherical rock found in Titan, but measured on Earth. This means we have to use .

On the other hand, we know the density of this rock is and its volume is .

If density is expressed as:

 (2)

We can find the mass of the rock from this equation:

 (3)

 (4)

 (5) This is the mass of the rock in kilograms

So, substituting this mass (5) in (1), we can finally find the weight of the rock measured for Earth:

(6)

(7)

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