Assume that at a distance
x from the planet of mass
M , the net gravitational field becomes zero.
∴= ⇒= ⇒()=()2⇒= ⇒3x=8R−x ⇒4x=8R ⇒x=2R⋅⋅⋅⋅⋅⋅⋅(i)Now, a satellite should be projected in such a way that its covers a minimum distance of
2R .
∴mv2−− =−where,
m is the mass of satellite.
⇒v2=⇒v=√⋅⋅⋅⋅⋅⋅⋅(ii)According to question, the minimum speed
v required for the satellite to reach the surface of the second planet is
√ . So, on comparing it with Eq. (ii), we can write
a=4