A submersible robot is exploring one of the methane seas on Titan, Saturn\'s lar

Question

A submersible 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 7 meters [m], and selects one for analysis. The sphere selected has a volume of 1.4 cubic centimeters [cm3] and a density of 2.05 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]

The weight of the sphere is______ N. (Round your answer to two significant digits.)

Explanation / Answer

density = 2.05 g / cm^3 = 2.05 x 10^-3 kg / 10^-6 m^3

= 2050 kg / m^3

Volume = 1.4 x 10^-6 m^3

mass = density x volume

= 2.87 x 10^-3 kg

Weight = m g = (2.87 x 10^-3) (9.81)

= 0.028 N

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