First slide
Gravitaional potential energy
Question

An orbiting satellite will escape if
a) its speed increases by 41.4%
b) its speed in the orbit is made 1.414 times that of its initial value
c) its kinetic energy increases by 100%
d) its kinetic energy is made √2 times that of its initial value
 

Moderate
Solution

For  circular orbit , orbital soeed of the satellite  V0=GMr.

Again escape velocity at any point on the circular orbit Ve=2GMr

Ve-VV×100=41.4%.:  Increase in Speed

Increase in K.E

12mve2-12mv212mv2×100

 

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