Answer:
(a) r = 1.062·R =
(b) r =
(c) Zero
Explanation:
Here we have escape velocity v given by
and the maximum height given by
Therefore, when the initial speed is 0.241v we have
v = so that;
v² =
v² =
is then
Which gives
or
r = 1.062·R
(b) Here we have
Therefore we put in the maximum height equation to get
From which we get
r = 1.32·R
(c) The we have the least initial mechanical energy, ME given by
ME = KE - PE
Where the KE = PE required to leave the earth we have
ME = KE - KE = 0
The least initial mechanical energy to leave the earth is zero.