A 2 gram bullet traveling at 1500 m/s [East] hits a 200 g block of wood at rest, and becomes embedded in it. If the block is suspended by long ropes, how high will it travel before it comes to rest?

Answer 1

calculate the velocity of the bullet/block combined mass with the conservation of momentum equation. Now, knowing the velocity, you can set
finalPotentailEnergy=initialKineticenergy
mgh=1/2 m v^2
and solve for height h.