Final answer:
In an inelastic collision or explosion, momentum is conserved but kinetic energy increases. Slight discrepancies in momentum calculations can be attributed to measurement errors or external forces like friction. Under ideal conditions, the momentum of the system before and after the explosion would be the same.
Step-by-step explanation:
The question is asking about the momentum of a cart before and after an 'explosion'. In the case of an inelastic collision, like an explosion, the momentum is conserved. However, the kinetic energy is not conserved as it increases after the explosion. The slight discrepancies in momentum calculations can be attributed to errors in measurement or external forces like friction in real-world situations.
Under ideal conditions with no friction, the momentum of the system after the explosion would be the same as the momentum before the explosion.
In the case of a stick of dynamite exploding in a pile of rocks, the total momentum of all the pieces after the explosion would also be equal to the momentum before the explosion.