Class 11 Exam > Class 11 Questions > Different planets have different escape veloc...
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Different planets have different escape velocities because:
- a)different planets have different atmosphere
- b)they have different distances from sun
- c)escape velocity depends on the body that has to escape the atmosphere of the planet
- d)they have different masses and sizes
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Different planets have different escape velocities because:a)different...
The formula for calculating the escape velocity from the surface of a celestial body (e.g. a planet) is:
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where G is the universal gravitation constant, M is the planet’s mass and R is its radius.Different planets have different mass and radius - and therefore different escape velocity.
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Different planets have different escape velocities because:a)different...
Explanation:
Different planets have different escape velocities because they have different masses and sizes. The escape velocity of a planet is the minimum velocity required for an object to escape its gravitational pull and leave the planet's atmosphere. This means that the object will no longer be bound to the planet and will continue to move away from it.
Planetary Mass and Size:
The escape velocity of a planet depends on its mass and size. The greater the mass and size of a planet, the stronger its gravitational pull, and the higher its escape velocity. This is because a larger planet has a greater gravitational force that needs to be overcome in order for an object to escape its atmosphere.
Gravitational Force:
The escape velocity is determined by the gravitational force between the planet and the object trying to escape. The escape velocity is calculated using the formula v = sqrt(2GM/R), where G is the gravitational constant, M is the mass of the planet, and R is the radius of the planet.
Example:
For example, Earth has a mass of approximately 5.97 x 10^24 kilograms and a radius of approximately 6,371 kilometers. Using the formula, the escape velocity of Earth is calculated to be approximately 11.2 kilometers per second.
Comparison of Escape Velocities:
Comparing the escape velocities of different planets, we can see that the larger the planet's mass and size, the higher its escape velocity. For example, Mars has a smaller mass and size compared to Earth, so its escape velocity is lower at approximately 5 kilometers per second.
Conclusion:
In conclusion, different planets have different escape velocities because they have different masses and sizes. The escape velocity is determined by the gravitational force between the planet and the object trying to escape, and a larger planet with greater mass and size will have a higher escape velocity.
Different planets have different escape velocities because they have different masses and sizes. The escape velocity of a planet is the minimum velocity required for an object to escape its gravitational pull and leave the planet's atmosphere. This means that the object will no longer be bound to the planet and will continue to move away from it.
Planetary Mass and Size:
The escape velocity of a planet depends on its mass and size. The greater the mass and size of a planet, the stronger its gravitational pull, and the higher its escape velocity. This is because a larger planet has a greater gravitational force that needs to be overcome in order for an object to escape its atmosphere.
Gravitational Force:
The escape velocity is determined by the gravitational force between the planet and the object trying to escape. The escape velocity is calculated using the formula v = sqrt(2GM/R), where G is the gravitational constant, M is the mass of the planet, and R is the radius of the planet.
Example:
For example, Earth has a mass of approximately 5.97 x 10^24 kilograms and a radius of approximately 6,371 kilometers. Using the formula, the escape velocity of Earth is calculated to be approximately 11.2 kilometers per second.
Comparison of Escape Velocities:
Comparing the escape velocities of different planets, we can see that the larger the planet's mass and size, the higher its escape velocity. For example, Mars has a smaller mass and size compared to Earth, so its escape velocity is lower at approximately 5 kilometers per second.
Conclusion:
In conclusion, different planets have different escape velocities because they have different masses and sizes. The escape velocity is determined by the gravitational force between the planet and the object trying to escape, and a larger planet with greater mass and size will have a higher escape velocity.
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Different planets have different escape velocities because:a)different planets have different atmosphereb)they have different distances from sunc)escape velocity depends on the body that has to escape the atmosphere of the planetd)they have different masses and sizesCorrect answer is option 'D'. Can you explain this answer?
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