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An earth satellite is moved from one stable circular orbit to a farther stable circular orbit. which one of following quantity increases
- a)gravitational potential energy
- b)centripetal acceleration
- c)gravitationl force
- d)linear orbital speed
Correct answer is option 'A'. Can you explain this answer?
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An earth satellite is moved from one stable circular orbit to a farthe...
We know that gravitational potential is negative in sign and its magnitude decreases when distance from the massive attracting object increases, hence when considered with sign we can say that gravitational potential increases with increases in distance.
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Gravitational Potential Energy Increase:
Increasing the distance between an earth satellite and the Earth's surface means the satellite is moving to a higher orbit, resulting in an increase in its gravitational potential energy. This is because gravitational potential energy is directly proportional to the distance between the satellite and the center of the Earth.
Explanation:
- When the satellite is moved to a farther stable circular orbit, it gains height from the Earth's surface.
- The gravitational potential energy of an object is given by the formula: \(PE = -\frac{GMm}{r}\), where G is the gravitational constant, M is the mass of the Earth, m is the mass of the satellite, and r is the distance from the center of the Earth to the satellite.
- As the satellite moves to a higher orbit, the value of r increases, leading to an increase in gravitational potential energy.
- This increase in gravitational potential energy is the result of the work done against the gravitational force when moving the satellite to a higher orbit.
Therefore, when an earth satellite is moved from one stable circular orbit to a farther stable circular orbit, the quantity that increases is the gravitational potential energy.
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An earth satellite is moved from one stable circular orbit to a farther stable circular orbit. which one of following quantity increasesa)gravitational potential energyb)centripetal accelerationc)gravitationl forced)linear orbital speedCorrect answer is option 'A'. Can you explain this answer?
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