Answer:
See the answers below
Explanation:
In this problem, we must be clear about the concept of weight. Weight is defined as the product of mass by gravitational acceleration.
We must be clear that the mass is always preserved, that is, the mass of 15 [kg] will always be the same regardless of the planet where they are.
[tex]W=m*g[/tex]
where:
W = weight [N] (units of Newtons)
m = mass = 15 [kg]
g = gravity acceleration [m/s²]
Since we have 9 places with different gravitational acceleration, then we calculate the weight in each of these nine places.
Mercury
[tex]w_{mercury} = 15*3.8\\w_{mercury}= 57 [N]\\[/tex]
Venus
[tex]w_{venus}=15*8.8\\w_{venus}= 132 [N][/tex]
Moon
[tex]w_{moon}=15*1.6\\w_{moon}=24[N][/tex]
Mars
[tex]w_{mars}=15*3.7\\w_{mars}=55.5 [N][/tex]
Jupiter
[tex]w_{jupiter}=15*23.1\\w_{jupiter}= 346.5[N][/tex]
Saturn
[tex]w_{saturn}=15*9\\w_{saturn}=135[N][/tex]
Uranus
[tex]w_{uranus}=15*8.7\\w_{uranus}=130.5[N][/tex]
Neptune
[tex]w_{neptune}=15*11\\w_{neptune}=165[N][/tex]
Pluto
[tex]w_{pluto}=15*0.6\\w_{pluto}=9[N][/tex]
