5. a ball is moved from earth to a planet that has a gravitational acceleration that is double that of…
5. a ball is moved from earth to a planet that has a gravitational acceleration that is double that of earth. how does the gravitational force on the ball when it is on the new planet compare to the gravitational force on the ball when it is on earth?
Answer
Explanation:
Step1: Recall gravitational - force formula
The gravitational force formula is $F = mg$, where $F$ is the gravitational force, $m$ is the mass of the object, and $g$ is the gravitational acceleration.
Step2: Let $g_{E}$ be Earth's gravitational acceleration
On Earth, the gravitational force on the ball is $F_{E}=mg_{E}$, where $m$ is the mass of the ball.
Step3: Determine the gravitational acceleration on the new planet
The gravitational acceleration on the new planet $g_{P}=2g_{E}$.
Step4: Calculate the gravitational force on the new planet
The gravitational force on the new planet is $F_{P}=mg_{P}=m(2g_{E}) = 2mg_{E}$.
Step5: Compare the two forces
Since $F_{E}=mg_{E}$ and $F_{P}=2mg_{E}$, we can see that $F_{P} = 2F_{E}$.
Answer:
The gravitational force on the ball on the new planet is double the gravitational force on the ball on Earth.