Answer:
The fraction of the weight of the astronaut on Callisto to the weight on Earth is 0.126.
Explanation:
From Newton's Law of Motion, the weight ([tex]W[/tex]), measured in newtons, of an object is defined by this expression:
[tex]W = m\cdot g[/tex] (1)
Where:
[tex]m[/tex] - Mass, measured in kilograms.
[tex]g[/tex] - Gravitational acceleration, measured in meters per square second.
The gravitational acceleration in Callisto is 1.236 meters per square second.
If we know that [tex]m = 50\,kg[/tex] and [tex]g = 1.236\,\frac{m}{s^{2}}[/tex], then the weight of the astronaut in Callisto is:
[tex]W = (50\,kg)\cdot \left(1.236\,\frac{m}{s^{2}} \right)[/tex]
[tex]W = 61.8\,N[/tex]
And the fraction is:
[tex]x = \frac{61.8\,N}{490\,N}[/tex]
[tex]x = 0.126[/tex]
The fraction of the weight of the astronaut on Callisto to the weight on Earth is 0.126.
