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Suppose an earth satellite, revolving in...

Suppose an earth satellite, revolving in a circular orbit experiences a resistance due to cosmic dust. Then

A

its kinetic energy will increase

B

its potential energy will decrease

C

it will spiral towards the earth and in the process its angular momentum will remain conserved

D

it will burn off ultimately

Text Solution

Verified by Experts

The correct Answer is:
A, B, D

If a satellite is revolving in a circular orbit then the magnitude of its `KE` is equal to half of the magnitude of negative. That is why the total energy of a revolving satellite is negative. If the satellite experiences resistance due to cosmic dust, then it follows a spiral path of decreasing radius. During the process of motion, its potential energy decreases. It means `PE` becomes more negative or the magnitude of `PE` increases Hence, magnitude of `KE` also increases. Therefore, optioins a and b are correct.
Since cosmic dust exerts a tangential force on the satellite, therefore it experiences a retarding moment, hence, its angular momentum does not remain conserved. Hence option c in incorrect. Since `KE` increases. Power acting against the resisting force is equal to force `xx` speed, therefore it increases. Hence, thermal power generated increases with time. Hence, ultimately it will turn off. Therefore option d is correct.
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