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The maximum and minimum distance of a comet from the sun are 8 × 1012 m and 1.6 × 1012 m. If its velocity when nearest to the sun is 60 m/s, what will be its velocity (in m/s) when it is farthest?
- a)12
- b)60
- c)112
- d)6
Correct answer is option 'A'. Can you explain this answer?
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The maximum and minimum distance of a comet from the sun are 8 × 1012...
Given: Maximum distance of the comet from the sun = 8 × 10¹² m, Minimum distance of the comet from the sun = 1.6 × 10¹² m, Velocity of the comet when nearest to the sun = 60 m/s.
To find: Velocity of the comet when farthest from the sun.
We can use the principle of conservation of energy to solve this problem. According to this principle, the total energy of a system remains constant if no external forces act on it. We can use this principle to relate the kinetic energy of the comet at its closest and farthest points from the sun.
The kinetic energy of the comet is given by:
K.E. = 0.5mv²
where m is the mass of the comet and v is its velocity.
At the closest point to the sun, the kinetic energy of the comet is:
K.E.₁ = 0.5m(60)² = 1800m
At the farthest point from the sun, the kinetic energy of the comet is:
K.E.₂ = 0.5mv₂²
Since the total energy of the system remains constant, we can equate K.E.₁ and K.E.₂:
K.E.₁ = K.E.₂
1800m = 0.5mv₂²
v₂² = (2 × 1800m) / m
v₂ = √(3600) = 60m/s
Therefore, the velocity of the comet when it is farthest from the sun is 60 m/s.
Hence, the correct option is A) 12.
To find: Velocity of the comet when farthest from the sun.
We can use the principle of conservation of energy to solve this problem. According to this principle, the total energy of a system remains constant if no external forces act on it. We can use this principle to relate the kinetic energy of the comet at its closest and farthest points from the sun.
The kinetic energy of the comet is given by:
K.E. = 0.5mv²
where m is the mass of the comet and v is its velocity.
At the closest point to the sun, the kinetic energy of the comet is:
K.E.₁ = 0.5m(60)² = 1800m
At the farthest point from the sun, the kinetic energy of the comet is:
K.E.₂ = 0.5mv₂²
Since the total energy of the system remains constant, we can equate K.E.₁ and K.E.₂:
K.E.₁ = K.E.₂
1800m = 0.5mv₂²
v₂² = (2 × 1800m) / m
v₂ = √(3600) = 60m/s
Therefore, the velocity of the comet when it is farthest from the sun is 60 m/s.
Hence, the correct option is A) 12.
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The maximum and minimum distance of a comet from the sun are 8 × 1012 m and 1.6 × 1012 m. If its velocity when nearest to the sun is 60 m/s, what will be its velocity (in m/s) when it is farthest?a)12b)60c)112d)6Correct answer is option 'A'. Can you explain this answer?
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The maximum and minimum distance of a comet from the sun are 8 × 1012 m and 1.6 × 1012 m. If its velocity when nearest to the sun is 60 m/s, what will be its velocity (in m/s) when it is farthest?a)12b)60c)112d)6Correct answer is option 'A'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The maximum and minimum distance of a comet from the sun are 8 × 1012 m and 1.6 × 1012 m. If its velocity when nearest to the sun is 60 m/s, what will be its velocity (in m/s) when it is farthest?a)12b)60c)112d)6Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The maximum and minimum distance of a comet from the sun are 8 × 1012 m and 1.6 × 1012 m. If its velocity when nearest to the sun is 60 m/s, what will be its velocity (in m/s) when it is farthest?a)12b)60c)112d)6Correct answer is option 'A'. Can you explain this answer?.
The maximum and minimum distance of a comet from the sun are 8 × 1012 m and 1.6 × 1012 m. If its velocity when nearest to the sun is 60 m/s, what will be its velocity (in m/s) when it is farthest?a)12b)60c)112d)6Correct answer is option 'A'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The maximum and minimum distance of a comet from the sun are 8 × 1012 m and 1.6 × 1012 m. If its velocity when nearest to the sun is 60 m/s, what will be its velocity (in m/s) when it is farthest?a)12b)60c)112d)6Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The maximum and minimum distance of a comet from the sun are 8 × 1012 m and 1.6 × 1012 m. If its velocity when nearest to the sun is 60 m/s, what will be its velocity (in m/s) when it is farthest?a)12b)60c)112d)6Correct answer is option 'A'. Can you explain this answer?.
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