With what initial kinetic energy must it be launched

Question

Zero, a hypothetical planet, has a mass of 3.0 x 10²³ kg, a radius of 3.0 multiplied by 10⁶ m, and no atmosphere. A 13 kg space probe is to be launched vertically from its surface.

(a) If the probe is launched with an initial kinetic energy of 5.0 multiplied by 10⁷ J, what will be its kinetic energy when it is 4.0 multiplied by 10⁶ m from the center of Zero?

(b) If the probe is to achieve a maximum distance of 8.0 multiplied by 10⁶ m from the center of Zero, with what initial kinetic energy must it be launched from the surface of Zero?