The concept of power is given by the relationship between intensity and area, that is to say that power is defined as
Our values are given under the condition of,
The power is proportional to the Area, and in turn, we know that the Area of a circle is the product between times the radius squared, therefore the power is proportional to the radius squared.
For both panels we would have to
Therefore the correct option is option C.9
To solve this problem we will use the related concepts in Newtonian laws that describe the force of gravitational attraction. We will use the given value and then we will obtain the proportion of the new force depending on the Radius. From there we will observe how much the force of attraction increases in the new distance.
Planet gravitational force
Distance between planet and star
Gravitational force is
Applying the new distance,
Replacing with the previous force,
Replacing our values
Therefore the magnitude of the force on the star due to the planet is