In: Physics
Carla and Jenny are arguing about whether or not it is possible to escape the gravitational field of the Earth. Carla shows Jenny a system where mass m is rE (not the Earth's radius) distant from Earth and rP (not planet P's radius) distant from planet P, the mass being on the line connecting the Earth and planet P. Carla states that the mass m has escaped if FP on m = −FE on m. Jenny disagrees. Which one, if either, is correct, and why?
Mass 
 is at a distance of
from earth (mass 
 ), and the mass is at
a distance of 
 from planet P( mass
)
The mass 
 is on the line
connecting the earth and planet P.
Force on mass 
 due to earth is
Force on mass 
 due to planet P is
If 
 , that
is magnitude of forces are equal and directions are opposite.That
means, earth is pulling the mass 
 towards it self with a
force and planet is pulling the mass 
 with the same amount of
force towards it self.So the mass 
 cannot move either
towards earth or towards the planet.Or it cannot be escaped from
its position.
Hence Carla's statement is wrong.
As Jenny disagrees with Carla, Jenny is correct.