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Questions  

A satellite moves around the earth in a circular orbit with speed v. If m is the mass of the satellite, its total energy is

a
−12mv2
b
12mv2
c
32mv2
d
14mv2

detailed solution

Correct option is A

Total mechanical energy is given byE=K+u=−GMm2a−GMma=−GMm2aGMa=v2⇒E=−12mv2

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Imagine that you are in a spacecraft orbiting around the earth in a circle of radius 7000 km (from the centre of the earth). If you decrease the magnitude of mechanical energy of the spacecraft - earth system by 10% by firing the rockets, then what is the greatest height you can take your spacecraft above the surface of the earth? [Re = 6400 km]


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