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If an object which weighs 100 lbs on the Earth's surface were placed on a planet with 3 times the radius of the Earth and with 5 times the Earth's mass, how much would that object weigh? Enter answer to nearest 0.1 lbs.

Respuesta :

Weight of object is 55.6 lb

Explanation:

Acceleration due to gravity

                   [tex]g=\frac{GM}{R^2}[/tex]

Case 1

               Weight = 100 lbs

               mg = 100 lbs

               Mass of earth = M

               Radius of earth = R

               [tex]g=\frac{GM}{R^2}[/tex]

Case 2

               Mass of planet = 5M

               Radius of planet = 3R

               [tex]g'=\frac{G\times 5M}{(3R)^2}=\frac{5}{9}g[/tex]

               [tex]\texttt{Weight = mg' = }\frac{5}{9}\times mg=55.6lb[/tex]

Weight of object is 55.6 lb

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