A satellite orbits a spherical planet close to its surface, in a circular path, with an orbital speed v0. Calculate (approximately) the impulse per unit mass to be delivered to the satellite in the direction of its velocity, so that it reaches a maximum altitude (above the planet's surface) equal to its radius.
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a
0.3v0
b
0.15v0
c
0.6v0
d
0.075v0
answer is B.
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Detailed Solution
Applying conservation of Angular momentum mv1⋅r=mv2.2rApplying conservation of energy,12mv12−GMmr=12mv22−GM2rmSolving, v1=2v03∴ The impulse per unit mass=mv1−mv0m