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A satellite S is moving in an elliptical orbit around the earth. The mass of the satellite is very small compared to the mass of the earth
- a)The acceleration of S is always directed towards the centre of the earth
- b)The angular momentum of S about the centre of the earth changes in direction, but its magnitude remains constant
- c)The total mechanical energy of S varies periodically with time
- d)The linear momentum of S remains constant in magnitude
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
A satellite S is moving in an elliptical orbit around the earth. The m...
As the gravitational force on satellites due to earth acts always towards the centre of earth, thus acceleration of S is always directed towards the centre of the earth.
Also, as there is no external force so according to conservation of energy, total mechanical energy of S is constant always.
Also, as in the absence of external torque L is constant in magnitude and direction.
Thus, mrv=constant ⟹v varies as r changes
Hence, p=mv is not constant.
Also, as there is no external force so according to conservation of energy, total mechanical energy of S is constant always.
Also, as in the absence of external torque L is constant in magnitude and direction.
Thus, mrv=constant ⟹v varies as r changes
Hence, p=mv is not constant.
Most Upvoted Answer
A satellite S is moving in an elliptical orbit around the earth. The m...
Answer:
Explanation:
The acceleration of an object in circular motion is always directed towards the center of the circle. Similarly, in an elliptical orbit, the acceleration of the satellite is also directed towards the center of the ellipse, which coincides with the center of the Earth. This is because the gravitational force between the Earth and the satellite is always directed towards the center of the Earth. Therefore, option A is correct.
Let's analyze the other options:
b) The angular momentum of S about the center of the Earth changes in direction, but its magnitude remains constant:
Angular momentum is given by the product of the moment of inertia and angular velocity. In an elliptical orbit, the distance between the satellite and the center of the Earth is constantly changing. As a result, the moment of inertia of the satellite changes, and therefore, the angular momentum also changes. Therefore, option B is incorrect.
c) The total mechanical energy of S varies periodically with time:
The total mechanical energy of an object in orbit is the sum of its kinetic energy and gravitational potential energy. In an elliptical orbit, the distance between the satellite and the center of the Earth changes, resulting in changes in both the kinetic and potential energies. Therefore, the total mechanical energy of the satellite varies periodically with time. Therefore, option C is correct.
d) The linear momentum of S remains constant in magnitude:
Linear momentum is given by the product of mass and velocity. In an elliptical orbit, the speed of the satellite is not constant. It is highest at the perigee (closest point to the Earth) and lowest at the apogee (farthest point from the Earth). Therefore, the linear momentum of the satellite is not constant in magnitude. Therefore, option D is incorrect.
In conclusion, the correct answer is option A. The acceleration of the satellite is always directed towards the center of the Earth.
Explanation:
The acceleration of an object in circular motion is always directed towards the center of the circle. Similarly, in an elliptical orbit, the acceleration of the satellite is also directed towards the center of the ellipse, which coincides with the center of the Earth. This is because the gravitational force between the Earth and the satellite is always directed towards the center of the Earth. Therefore, option A is correct.
Let's analyze the other options:
b) The angular momentum of S about the center of the Earth changes in direction, but its magnitude remains constant:
Angular momentum is given by the product of the moment of inertia and angular velocity. In an elliptical orbit, the distance between the satellite and the center of the Earth is constantly changing. As a result, the moment of inertia of the satellite changes, and therefore, the angular momentum also changes. Therefore, option B is incorrect.
c) The total mechanical energy of S varies periodically with time:
The total mechanical energy of an object in orbit is the sum of its kinetic energy and gravitational potential energy. In an elliptical orbit, the distance between the satellite and the center of the Earth changes, resulting in changes in both the kinetic and potential energies. Therefore, the total mechanical energy of the satellite varies periodically with time. Therefore, option C is correct.
d) The linear momentum of S remains constant in magnitude:
Linear momentum is given by the product of mass and velocity. In an elliptical orbit, the speed of the satellite is not constant. It is highest at the perigee (closest point to the Earth) and lowest at the apogee (farthest point from the Earth). Therefore, the linear momentum of the satellite is not constant in magnitude. Therefore, option D is incorrect.
In conclusion, the correct answer is option A. The acceleration of the satellite is always directed towards the center of the Earth.
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A satellite S is moving in an elliptical orbit around the earth. The mass of the satellite is very small compared to the mass of the eartha)The acceleration of S is always directed towards the centre of the earthb)The angular momentum of S about the centre of the earth changes in direction, but its magnitude remains constantc)The total mechanical energy of S varies periodically with timed)The linear momentum of S remains constant in magnitudeCorrect answer is option 'A'. Can you explain this answer?
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A satellite S is moving in an elliptical orbit around the earth. The mass of the satellite is very small compared to the mass of the eartha)The acceleration of S is always directed towards the centre of the earthb)The angular momentum of S about the centre of the earth changes in direction, but its magnitude remains constantc)The total mechanical energy of S varies periodically with timed)The linear momentum of S remains constant in magnitudeCorrect answer is option 'A'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A satellite S is moving in an elliptical orbit around the earth. The mass of the satellite is very small compared to the mass of the eartha)The acceleration of S is always directed towards the centre of the earthb)The angular momentum of S about the centre of the earth changes in direction, but its magnitude remains constantc)The total mechanical energy of S varies periodically with timed)The linear momentum of S remains constant in magnitudeCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A satellite S is moving in an elliptical orbit around the earth. The mass of the satellite is very small compared to the mass of the eartha)The acceleration of S is always directed towards the centre of the earthb)The angular momentum of S about the centre of the earth changes in direction, but its magnitude remains constantc)The total mechanical energy of S varies periodically with timed)The linear momentum of S remains constant in magnitudeCorrect answer is option 'A'. Can you explain this answer?.
A satellite S is moving in an elliptical orbit around the earth. The mass of the satellite is very small compared to the mass of the eartha)The acceleration of S is always directed towards the centre of the earthb)The angular momentum of S about the centre of the earth changes in direction, but its magnitude remains constantc)The total mechanical energy of S varies periodically with timed)The linear momentum of S remains constant in magnitudeCorrect answer is option 'A'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A satellite S is moving in an elliptical orbit around the earth. The mass of the satellite is very small compared to the mass of the eartha)The acceleration of S is always directed towards the centre of the earthb)The angular momentum of S about the centre of the earth changes in direction, but its magnitude remains constantc)The total mechanical energy of S varies periodically with timed)The linear momentum of S remains constant in magnitudeCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A satellite S is moving in an elliptical orbit around the earth. The mass of the satellite is very small compared to the mass of the eartha)The acceleration of S is always directed towards the centre of the earthb)The angular momentum of S about the centre of the earth changes in direction, but its magnitude remains constantc)The total mechanical energy of S varies periodically with timed)The linear momentum of S remains constant in magnitudeCorrect answer is option 'A'. Can you explain this answer?.
Solutions for A satellite S is moving in an elliptical orbit around the earth. The mass of the satellite is very small compared to the mass of the eartha)The acceleration of S is always directed towards the centre of the earthb)The angular momentum of S about the centre of the earth changes in direction, but its magnitude remains constantc)The total mechanical energy of S varies periodically with timed)The linear momentum of S remains constant in magnitudeCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 11.
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A satellite S is moving in an elliptical orbit around the earth. The mass of the satellite is very small compared to the mass of the eartha)The acceleration of S is always directed towards the centre of the earthb)The angular momentum of S about the centre of the earth changes in direction, but its magnitude remains constantc)The total mechanical energy of S varies periodically with timed)The linear momentum of S remains constant in magnitudeCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for A satellite S is moving in an elliptical orbit around the earth. The mass of the satellite is very small compared to the mass of the eartha)The acceleration of S is always directed towards the centre of the earthb)The angular momentum of S about the centre of the earth changes in direction, but its magnitude remains constantc)The total mechanical energy of S varies periodically with timed)The linear momentum of S remains constant in magnitudeCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of A satellite S is moving in an elliptical orbit around the earth. The mass of the satellite is very small compared to the mass of the eartha)The acceleration of S is always directed towards the centre of the earthb)The angular momentum of S about the centre of the earth changes in direction, but its magnitude remains constantc)The total mechanical energy of S varies periodically with timed)The linear momentum of S remains constant in magnitudeCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A satellite S is moving in an elliptical orbit around the earth. The mass of the satellite is very small compared to the mass of the eartha)The acceleration of S is always directed towards the centre of the earthb)The angular momentum of S about the centre of the earth changes in direction, but its magnitude remains constantc)The total mechanical energy of S varies periodically with timed)The linear momentum of S remains constant in magnitudeCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice Class 11 tests.
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