The world needs a new source of energy, an unspillable source.

Can you solve this using BOTH conservation of energy AND conservation of momentum?

A 10g bullet traveling at 1000 m/s collides with a 100g wood block initially at rest. The system is co-linear, and the impact is completely plastic. Find the final velocity of the bullet and wood. Please solve using BOTH conservation of energy AND conservation of momentum. See if you get the same velocities. I can’t.