QUESTION IMAGE
Question
- answer this question: the more mass an object has, the greater / less force of gravity it produces between it and other objects. 13. answer the question: the farther apart two objects are, the greater / less the force of gravity the two objects produce between each other. 14. using the ideas in questions 12 and 13, describe why you think a person on the moon will have much less gravity pulling on them than on the earth. 15. using the ideas in questions 12 and 13, describe why you think a person in outer space, about 125 kilometers off earths surface, will not have a pull of gravity on them.
Step1: Recall gravity - mass relationship
Gravitational force $F = G\frac{m_1m_2}{r^2}$, where $G$ is gravitational constant, $m_1$ and $m_2$ are masses of two objects and $r$ is the distance between them. When $r$ is constant, $F\propto m_1m_2$. So the more mass an object has, the greater the force of gravity it produces between it and other objects.
Step2: Recall gravity - distance relationship
From $F = G\frac{m_1m_2}{r^2}$, when $m_1$ and $m_2$ are constant, $F\propto\frac{1}{r^2}$. So the farther apart two objects are, the less the force of gravity between them.
Step3: Consider Earth - moon - space gravity
The mass of the Earth is much larger than the mass of the moon. Gravitational force is also inversely - proportional to the square of the distance. A person in outer space about 125 kilometers off Earth's surface is still relatively close to a massive Earth compared to being on the moon. The moon has less mass than Earth and is farther from the person in space (compared to the person's proximity to Earth's surface). So a person on the moon will have much less gravity pulling on them than on the Earth.
Snap & solve any problem in the app
Get step-by-step solutions on Sovi AI
Photo-based solutions with guided steps
Explore more problems and detailed explanations
- Greater
- Less
- The moon has less mass than Earth. Also, gravitational force is inversely proportional to the square of the distance. A person 125 kilometers off Earth's surface is still close to a massive Earth, while on the moon, the gravitational pull is weaker due to the moon's lower mass and the distance - related decrease in gravitational force.