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A satellite of mass 5M orbits the earth in a circular orbit. At one point in its orbit, the satellite explodes into two pieces, one of mass M and the other of mass 4M. After the explosion the mass M ends up travelling in the same circular orbit, but in opposite direction. After explosion the mass 4M is in
- a)Bound orbit
- b)Unbound orbit
- c)Partially bound orbit
- d)Data is insufficient to determine the nature of the orbit
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A satellite of mass 5M orbits the earth in a circular orbit. At one po...
Applying the conservation of momentum, we get:
V = velocity of 5M, V1 = velocity of 4M, V2 = velocity of M and ATQ V2 = -V
5MV = 4MV1 + M(-V)
6MV = 4MV1
V1 = 3/2 V
Now, Vo = orbital velocity and Ve = escape velocity
Ve = √2 Vo
In a bound orbit the object is gravitationally bound to the body that is the source of gravity (like the Earth is bound to the Sun, or the Moon to the Earth). An unbound orbit is typically hyperbolic, and the object will escape from the source of gravity
V = velocity of 5M, V1 = velocity of 4M, V2 = velocity of M and ATQ V2 = -V
5MV = 4MV1 + M(-V)
6MV = 4MV1
V1 = 3/2 V
Now, Vo = orbital velocity and Ve = escape velocity
Ve = √2 Vo
In a bound orbit the object is gravitationally bound to the body that is the source of gravity (like the Earth is bound to the Sun, or the Moon to the Earth). An unbound orbit is typically hyperbolic, and the object will escape from the source of gravity
Most Upvoted Answer
A satellite of mass 5M orbits the earth in a circular orbit. At one po...
In a bound orbit the object is gravitationally bound to the body that is the source of gravity (like the Earth is bound to the Sun, or the Moon to the Earth). ... An unbound orbit is typically hyperbolic, and the object will escape from the source of gravity
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Community Answer
A satellite of mass 5M orbits the earth in a circular orbit. At one po...
Explanation:
Initial Orbit:
The satellite of mass 5M is initially in a circular orbit around the Earth. The centripetal force required to keep the satellite in orbit is provided by the gravitational force between the satellite and the Earth.
Explosion:
At one point in its orbit, the satellite explodes into two pieces. One piece has a mass of M and the other piece has a mass of 4M. The explosion occurs due to some external force acting on the satellite.
Mass M:
After the explosion, the mass M continues to travel in the same circular orbit around the Earth, but in the opposite direction. This is because the explosion does not change the mass M's velocity or distance from the Earth. The centripetal force required to keep the mass M in orbit is still provided by the gravitational force between the mass M and the Earth.
Mass 4M:
After the explosion, the mass 4M is no longer in a circular orbit around the Earth. The explosion imparts a velocity to the mass 4M in a direction opposite to its original orbit. This additional velocity allows the mass 4M to escape the gravitational pull of the Earth and move away from it. Therefore, the mass 4M is in an unbound orbit.
Conclusion:
Based on the given information, it can be concluded that after the explosion, the mass 4M is in an unbound orbit. This means that it will continue to move away from the Earth and will not return to the vicinity of the Earth.
Initial Orbit:
The satellite of mass 5M is initially in a circular orbit around the Earth. The centripetal force required to keep the satellite in orbit is provided by the gravitational force between the satellite and the Earth.
Explosion:
At one point in its orbit, the satellite explodes into two pieces. One piece has a mass of M and the other piece has a mass of 4M. The explosion occurs due to some external force acting on the satellite.
Mass M:
After the explosion, the mass M continues to travel in the same circular orbit around the Earth, but in the opposite direction. This is because the explosion does not change the mass M's velocity or distance from the Earth. The centripetal force required to keep the mass M in orbit is still provided by the gravitational force between the mass M and the Earth.
Mass 4M:
After the explosion, the mass 4M is no longer in a circular orbit around the Earth. The explosion imparts a velocity to the mass 4M in a direction opposite to its original orbit. This additional velocity allows the mass 4M to escape the gravitational pull of the Earth and move away from it. Therefore, the mass 4M is in an unbound orbit.
Conclusion:
Based on the given information, it can be concluded that after the explosion, the mass 4M is in an unbound orbit. This means that it will continue to move away from the Earth and will not return to the vicinity of the Earth.
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A satellite of mass 5M orbits the earth in a circular orbit. At one point in its orbit, the satellite explodes into two pieces, one of mass M and the other of mass 4M. After the explosion the mass M ends up travelling in the same circular orbit, but in opposite direction. After explosion the mass 4M is ina)Bound orbitb)Unbound orbitc)Partially bound orbitd)Data is insufficient to determine the nature of the orbitCorrect answer is option 'B'. Can you explain this answer?
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A satellite of mass 5M orbits the earth in a circular orbit. At one point in its orbit, the satellite explodes into two pieces, one of mass M and the other of mass 4M. After the explosion the mass M ends up travelling in the same circular orbit, but in opposite direction. After explosion the mass 4M is ina)Bound orbitb)Unbound orbitc)Partially bound orbitd)Data is insufficient to determine the nature of the orbitCorrect answer is option 'B'. 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 of mass 5M orbits the earth in a circular orbit. At one point in its orbit, the satellite explodes into two pieces, one of mass M and the other of mass 4M. After the explosion the mass M ends up travelling in the same circular orbit, but in opposite direction. After explosion the mass 4M is ina)Bound orbitb)Unbound orbitc)Partially bound orbitd)Data is insufficient to determine the nature of the orbitCorrect answer is option 'B'. 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 of mass 5M orbits the earth in a circular orbit. At one point in its orbit, the satellite explodes into two pieces, one of mass M and the other of mass 4M. After the explosion the mass M ends up travelling in the same circular orbit, but in opposite direction. After explosion the mass 4M is ina)Bound orbitb)Unbound orbitc)Partially bound orbitd)Data is insufficient to determine the nature of the orbitCorrect answer is option 'B'. Can you explain this answer?.
A satellite of mass 5M orbits the earth in a circular orbit. At one point in its orbit, the satellite explodes into two pieces, one of mass M and the other of mass 4M. After the explosion the mass M ends up travelling in the same circular orbit, but in opposite direction. After explosion the mass 4M is ina)Bound orbitb)Unbound orbitc)Partially bound orbitd)Data is insufficient to determine the nature of the orbitCorrect answer is option 'B'. 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 of mass 5M orbits the earth in a circular orbit. At one point in its orbit, the satellite explodes into two pieces, one of mass M and the other of mass 4M. After the explosion the mass M ends up travelling in the same circular orbit, but in opposite direction. After explosion the mass 4M is ina)Bound orbitb)Unbound orbitc)Partially bound orbitd)Data is insufficient to determine the nature of the orbitCorrect answer is option 'B'. 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 of mass 5M orbits the earth in a circular orbit. At one point in its orbit, the satellite explodes into two pieces, one of mass M and the other of mass 4M. After the explosion the mass M ends up travelling in the same circular orbit, but in opposite direction. After explosion the mass 4M is ina)Bound orbitb)Unbound orbitc)Partially bound orbitd)Data is insufficient to determine the nature of the orbitCorrect answer is option 'B'. Can you explain this answer?.
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ample number of questions to practice A satellite of mass 5M orbits the earth in a circular orbit. At one point in its orbit, the satellite explodes into two pieces, one of mass M and the other of mass 4M. After the explosion the mass M ends up travelling in the same circular orbit, but in opposite direction. After explosion the mass 4M is ina)Bound orbitb)Unbound orbitc)Partially bound orbitd)Data is insufficient to determine the nature of the orbitCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Class 11 tests.
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