a 0.040 kg bullet was traveling at 150 m/s, inelastically collided with a 5 kg pendulum that was at rest. what is the maximum height h can the pendulum go after the collision ignoring the air resistance

We will have the following:

First, using the conservation of momentum to find the velocity of the system, that is:

Now that we have the initial velocity we will use conservation of energy to determine the height of the pendulum:

So, the pendulum mover a height of exactly 125/2058 m, that is approximately 0.06m.

i believe the answer is a hope it and is correct

because if the tool that you are using is not balanced it there would be false mass.