Once the lander has successfully landed on the surface, what is the minimum amount of thrust required to set it into motion again? Based on your answer, what can you conclude about the moon’s gravity?

The exact performance you need is dependent on a large number of engineering factors, but around 2:1 initial thrust to weight

Explanation:

The acceleration due to gravity on the surface of the Moon is approximately 1.625 m/s2, about 16.6% that on Earth's surface or 0.166 ɡ. Thus the intitial interia doesn't change from when on the moon compared to earth but rather in free-fall when inside a space capsule.