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Which of the following factors does the acceleration due to gravity on the Earth depend upon?
- a)Mass of the Body
- b)Mass of the Earth
- c)The volume of the Body
- d)Shape and Size of the Body
Correct answer is option 'B'. Can you explain this answer?
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Which of the following factors does the acceleration due to gravity on...
Understanding Acceleration Due to Gravity
The acceleration due to gravity (g) at the Earth's surface is influenced by several factors, but primarily it is determined by the mass of the Earth. Here’s a detailed explanation:
Key Factor: Mass of the Earth
- The acceleration due to gravity on Earth is given by the formula:
g = GM/R^2
- G is the universal gravitational constant.
- M is the mass of the Earth.
- R is the radius of the Earth.
- This illustrates that g depends directly on the mass of Earth (M). As the mass increases, the gravitational pull increases, leading to a higher acceleration due to gravity.
Other Factors Explained
- Mass of the Body:
- The mass of the object experiencing gravity does not affect the value of g. Instead, it influences the weight (W = mg), where the acceleration due to gravity remains constant.
- Volume of the Body:
- The volume does not affect g. Gravity acts on the mass of the body, not its volume.
- Shape and Size of the Body:
- The shape and size of an object may affect how gravity acts on it (such as air resistance), but they do not change the acceleration due to gravity itself.
Conclusion
In summary, the acceleration due to gravity on Earth primarily depends on the mass of the Earth (option B). Other factors like the mass, volume, shape, and size of the body do not influence the value of g. Understanding these principles is essential in grasping the fundamental concepts of physics related to gravity.
The acceleration due to gravity (g) at the Earth's surface is influenced by several factors, but primarily it is determined by the mass of the Earth. Here’s a detailed explanation:
Key Factor: Mass of the Earth
- The acceleration due to gravity on Earth is given by the formula:
g = GM/R^2
- G is the universal gravitational constant.
- M is the mass of the Earth.
- R is the radius of the Earth.
- This illustrates that g depends directly on the mass of Earth (M). As the mass increases, the gravitational pull increases, leading to a higher acceleration due to gravity.
Other Factors Explained
- Mass of the Body:
- The mass of the object experiencing gravity does not affect the value of g. Instead, it influences the weight (W = mg), where the acceleration due to gravity remains constant.
- Volume of the Body:
- The volume does not affect g. Gravity acts on the mass of the body, not its volume.
- Shape and Size of the Body:
- The shape and size of an object may affect how gravity acts on it (such as air resistance), but they do not change the acceleration due to gravity itself.
Conclusion
In summary, the acceleration due to gravity on Earth primarily depends on the mass of the Earth (option B). Other factors like the mass, volume, shape, and size of the body do not influence the value of g. Understanding these principles is essential in grasping the fundamental concepts of physics related to gravity.
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Which of the following factors does the acceleration due to gravity on...
The acceleration due to gravity on the Earth depends upon the mass of the Earth.
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