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Acceleration due to gravity is
- a)dependent on mass of the planet for points outside the planet
- b)dependent directly on the radius of the planets under comparison are made of same material
- c)inversely proportional to square of radius for all points on the surface of the planet
- d)All of these
Correct answer is option 'A'. Can you explain this answer?
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Acceleration due to gravity isa)dependent on mass of the planet for po...
Explanation:
The acceleration due to gravity is the acceleration experienced by an object when it is in the gravitational field of another object. This acceleration depends on various factors, including the mass and radius of the planet.
Dependent on mass of the planet for points outside the planet:
The acceleration due to gravity depends on the mass of the planet. According to Newton's law of gravitation, the force of gravity between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between them. Therefore, the greater the mass of the planet, the greater the gravitational force it exerts on objects.
Dependent directly on the radius of the planets under comparison are made of the same material:
The acceleration due to gravity is also dependent on the radius of the planet. When comparing two planets made of the same material, the acceleration due to gravity is directly proportional to the radius. This is because the mass of the planet is directly proportional to the volume, which is determined by the radius cubed. Therefore, if the radius of a planet increases, the mass and gravitational force also increase, resulting in a higher acceleration due to gravity.
Inversely proportional to the square of the radius for all points on the surface of the planet:
For all points on the surface of a planet, the acceleration due to gravity is inversely proportional to the square of the radius. This is because the gravitational force decreases with distance. As an object moves away from the center of the planet, the distance from the center increases, resulting in a decrease in the gravitational force and acceleration due to gravity.
Conclusion:
In summary, the acceleration due to gravity is dependent on the mass of the planet for points outside the planet. However, for points on the surface of the planet, the acceleration due to gravity is inversely proportional to the square of the radius.
The acceleration due to gravity is the acceleration experienced by an object when it is in the gravitational field of another object. This acceleration depends on various factors, including the mass and radius of the planet.
Dependent on mass of the planet for points outside the planet:
The acceleration due to gravity depends on the mass of the planet. According to Newton's law of gravitation, the force of gravity between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between them. Therefore, the greater the mass of the planet, the greater the gravitational force it exerts on objects.
Dependent directly on the radius of the planets under comparison are made of the same material:
The acceleration due to gravity is also dependent on the radius of the planet. When comparing two planets made of the same material, the acceleration due to gravity is directly proportional to the radius. This is because the mass of the planet is directly proportional to the volume, which is determined by the radius cubed. Therefore, if the radius of a planet increases, the mass and gravitational force also increase, resulting in a higher acceleration due to gravity.
Inversely proportional to the square of the radius for all points on the surface of the planet:
For all points on the surface of a planet, the acceleration due to gravity is inversely proportional to the square of the radius. This is because the gravitational force decreases with distance. As an object moves away from the center of the planet, the distance from the center increases, resulting in a decrease in the gravitational force and acceleration due to gravity.
Conclusion:
In summary, the acceleration due to gravity is dependent on the mass of the planet for points outside the planet. However, for points on the surface of the planet, the acceleration due to gravity is inversely proportional to the square of the radius.
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Acceleration due to gravity isa)dependent on mass of the planet for points outside the planetb)dependent directly on the radius of the planets under comparison are made of same materialc)inversely proportional to square of radius for all points on the surface of the planetd)All of theseCorrect answer is option 'A'. Can you explain this answer?
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