Final answer:
Mr. B is able to close the door with the pillow by utilizing the conservation of momentum.
Step-by-step explanation:
In this scenario, Mr. B is able to close the door with the pillow by utilizing the conservation of momentum.
1. A closed system is defined as a system where no external forces act on it.
2. The expression for conservation of momentum is:
Minitial = Mfinal
3. The expression for conservation of kinetic energy is:
Kinitial = Kfinal
4. By throwing the pillow at the door, Mr. B transfers momentum from himself to the pillow. The momentum of the door+pillow system will be the same as the momentum of Mr. B before he threw the pillow, thus closing the door.