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A satellite in a force free space sweeps stationary interplanetary dust at the rate of (dM/dt) =av . The acceleration of satellite is ..?
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A satellite in a force free space sweeps stationary interplanetary du...
Acceleration of Satellite in Force Free Space
Explanation
- A satellite in a force-free space refers to a situation where the satellite is not influenced by any external force.
- The satellite sweeps stationary interplanetary dust at the rate of (dM/dt) = av. This means that the mass of the satellite is changing with time due to the accumulation of interplanetary dust.
- The acceleration of the satellite can be determined by considering the conservation of momentum.
- Since there are no external forces acting on the satellite, the total momentum of the satellite and interplanetary dust is conserved.
- The rate of change of momentum of the system is given by F=dp/dt, where p is the momentum of the system.
- Since F=0 for the force-free space, dp/dt=0.
- The momentum of the system is given by p=mv+Mv, where m is the mass of interplanetary dust, M is the mass of the satellite, and v is the velocity of the system.
- Taking the derivative of p with respect to time, we get dp/dt=mdv/dt+vdM/dt.
- Since dp/dt=0, we can rearrange the equation to get dv/dt=-(dM/dt/m)v=-av.
- Therefore, the acceleration of the satellite is -a.
Conclusion
- The acceleration of a satellite in a force-free space can be determined by considering the conservation of momentum.
- The acceleration is equal to the negative of the rate of change of the mass of the satellite times the velocity of the system divided by the mass of interplanetary dust.
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A satellite in a force free space sweeps stationary interplanetary du...
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A satellite in a force free space sweeps stationary interplanetary dust at the rate of (dM/dt) =av . The acceleration of satellite is ..?
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A satellite in a force free space sweeps stationary interplanetary dust at the rate of (dM/dt) =av . The acceleration of satellite is ..? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A satellite in a force free space sweeps stationary interplanetary dust at the rate of (dM/dt) =av . The acceleration of satellite is ..? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A satellite in a force free space sweeps stationary interplanetary dust at the rate of (dM/dt) =av . The acceleration of satellite is ..?.
A satellite in a force free space sweeps stationary interplanetary dust at the rate of (dM/dt) =av . The acceleration of satellite is ..? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A satellite in a force free space sweeps stationary interplanetary dust at the rate of (dM/dt) =av . The acceleration of satellite is ..? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A satellite in a force free space sweeps stationary interplanetary dust at the rate of (dM/dt) =av . The acceleration of satellite is ..?.
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