Answer:
The fraction of the weight of the astronaut on Callisto to the weight on Earth is 0.126.
Step-by-step explanation:
From Newton's Law of Motion, the weight (
), measured in newtons, of an object is defined by this expression:
(1)
Where:
- Mass, measured in kilograms.
- Gravitational acceleration, measured in meters per square second.
The gravitational acceleration in Callisto is 1.236 meters per square second.
If we know that
and
, then the weight of the astronaut in Callisto is:
![W = (50\,kg)\cdot \left(1.236\,(m)/(s^(2)) \right)](https://img.qammunity.org/2022/formulas/physics/high-school/fvgdwgtrblcncgmmdbvmwzgt5wqtitoavd.png)
![W = 61.8\,N](https://img.qammunity.org/2022/formulas/physics/high-school/jp6narxrhbb4sdpnkewhxf2milqeinaiz2.png)
And the fraction is:
![x = (61.8\,N)/(490\,N)](https://img.qammunity.org/2022/formulas/physics/high-school/n2crzcnd8g5cxblzqhks1chg7oh2em1ihs.png)
![x = 0.126](https://img.qammunity.org/2022/formulas/physics/high-school/u4jtc9fd6ad9ke1yhlks0hk25btk7mc7r8.png)
The fraction of the weight of the astronaut on Callisto to the weight on Earth is 0.126.