Respuesta :
Given data:
* The acceleration of gravity on other planet is,
[tex]g^{\prime}=2g[/tex]where g' is the acceleration of gravity of the other planet , and g is the acceleration due to gravity of Earth,
* The weight of the gold medal on the other planet is,
[tex]W^{\prime}=1\text{ N}[/tex]Solution:
The weight of the gold medal on the other planet in terms of its mass is,
[tex]\begin{gathered} W^{\prime}=mg^{\prime} \\ W^{\prime}=m(2g) \\ W^{\prime}=2mg \end{gathered}[/tex]As the mass of gold medal remain unchanged,
Thus, the weight of the gold medal on Earth is,
[tex]W=mg[/tex]Thus,
[tex]\begin{gathered} W^{\prime}=2W \\ W=\frac{W^{\prime}}{2} \end{gathered}[/tex]Substituting the known values,
[tex]\begin{gathered} W=\frac{1}{2} \\ W=0.5\text{ N} \end{gathered}[/tex]Thus, the weight of the gold medal on the Earth is 0.5 N.
