Question

a satellite is orbiting the earth with speed v 0 .To make the satellite escape,what should be the minimum % increase in its velocity?

Answer 1

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student-name Salini Mukherjee asked in Physics

a satellite is orbiting the earth with speed v0.To make the satellite escape,what should be the minimum % increase in its velocity?

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student-name Neha Sarin answered this

409 helpful votes in Physics, Class XII-Science

we know that

orbital velocity

vo= √(g.r)

escape velocity

ve = √(2g.r)

thus, the increase in velocity would be

dv = ve - vo = √(2g.r) - √(g.r)

or

dv = (√2 - √1).√(g.r)

so,

dv = 0.414√(g.r)

now,

the percentage increse would be

% dv = [(ve - vo) / vo ] x 100

= (dv / vo) x 100

or

= [0.414√(g.r) / √(g.r)] x 100

so, we get

% dv = 0.414 x 100 = 41.4%

Answer 2

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