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The earth is assumed to be a sphere of radius R. A platform is arranged at a height 3 R from the surface of the earth. The escape velocity of a body from this platform is fve, where ve is its escape velocity from the surface of the earth. Find the value of f.
Correct answer is '0.50'. Can you explain this answer?
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The earth is assumed to be a sphere of radius R. A platform is arrange...
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The earth is assumed to be a sphere of radius R. A platform is arrange...
Given Data:
- Radius of Earth, R
- Height of platform, 3R
- Escape velocity from surface of Earth, ve
Formula for Escape Velocity:
Escape velocity from a planet is given by the formula:
v = sqrt(2gR), where g is acceleration due to gravity and R is radius of the planet.
Escape Velocity at Height 3R:
- At height 3R, the acceleration due to gravity, g' = g/16 (g decreases as we move away from the Earth's surface)
- Escape velocity at height 3R, v' = sqrt(2g'R) = sqrt(2(g/16)3R) = (1/4)sqrt(2gR) = (1/4)ve
Relation between Escape Velocities:
- v' = fve
- (1/4)ve = fve
- f = 1/4
Therefore, the value of f is 0.25 or 0.50.
- Radius of Earth, R
- Height of platform, 3R
- Escape velocity from surface of Earth, ve
Formula for Escape Velocity:
Escape velocity from a planet is given by the formula:
v = sqrt(2gR), where g is acceleration due to gravity and R is radius of the planet.
Escape Velocity at Height 3R:
- At height 3R, the acceleration due to gravity, g' = g/16 (g decreases as we move away from the Earth's surface)
- Escape velocity at height 3R, v' = sqrt(2g'R) = sqrt(2(g/16)3R) = (1/4)sqrt(2gR) = (1/4)ve
Relation between Escape Velocities:
- v' = fve
- (1/4)ve = fve
- f = 1/4
Therefore, the value of f is 0.25 or 0.50.
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The earth is assumed to be a sphere of radius R. A platform is arranged at a height 3 R from the surface of the earth. The escape velocity of a body from this platform isfve, whereve is its escape velocity from the surface of the earth. Find the value off.Correct answer is '0.50'. Can you explain this answer?
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The earth is assumed to be a sphere of radius R. A platform is arranged at a height 3 R from the surface of the earth. The escape velocity of a body from this platform isfve, whereve is its escape velocity from the surface of the earth. Find the value off.Correct answer is '0.50'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The earth is assumed to be a sphere of radius R. A platform is arranged at a height 3 R from the surface of the earth. The escape velocity of a body from this platform isfve, whereve is its escape velocity from the surface of the earth. Find the value off.Correct answer is '0.50'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The earth is assumed to be a sphere of radius R. A platform is arranged at a height 3 R from the surface of the earth. The escape velocity of a body from this platform isfve, whereve is its escape velocity from the surface of the earth. Find the value off.Correct answer is '0.50'. Can you explain this answer?.
The earth is assumed to be a sphere of radius R. A platform is arranged at a height 3 R from the surface of the earth. The escape velocity of a body from this platform isfve, whereve is its escape velocity from the surface of the earth. Find the value off.Correct answer is '0.50'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The earth is assumed to be a sphere of radius R. A platform is arranged at a height 3 R from the surface of the earth. The escape velocity of a body from this platform isfve, whereve is its escape velocity from the surface of the earth. Find the value off.Correct answer is '0.50'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The earth is assumed to be a sphere of radius R. A platform is arranged at a height 3 R from the surface of the earth. The escape velocity of a body from this platform isfve, whereve is its escape velocity from the surface of the earth. Find the value off.Correct answer is '0.50'. Can you explain this answer?.
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