Just before it landed on the moon, the Apollo 12 lunar lander had a mass of 1.3×104 kg. What rocket thrust was necessary to have the lander touch down with zero acceleration? Express your answer with the appropriate units.

the position of a 2-kg mass is given by x=2t^3-2t^2+5t. What is the net force on the mass at t=0 and t=1? (use m/s^2)

A huge pendulum is made out of a 8.26-m cable attached at the top to a steel beam. The bottom of the cable is attached to a 38.7-kg anvil that swings back and forth. At the very bottom of its swing, the anvil travels at a speed of 2.53 m/s. Find the tension (in N) in the cable. (You may assume that the cable itself has negligible mass.)

Let's say an astronaut is walking on the moon and wants to test out some basic kinematics. Because there's no atmosphere, there's no air resistance, so the only thing that can cause an object to move faster on the moon is the moon's gravity. Let's say you have a hammer and a feather, each weighing 10.0 kg and 1.00 kg respectively. When you drop them from a height of 1.65 meters, they should both hit the ground at the same time. The gravity on the moon is around 1/6 of what it is on Earth, so you need to figure out how long it'll take for the hammer to reach the ground.