HW-56 Firecracker A firecracker is at rest on a frictionless horizontal table. T
ID: 2041060 • Letter: H
Question
HW-56 Firecracker A firecracker is at rest on a frictionless horizontal table. The firecracker explodes into two pieces of unequal mass that move in opposite directions on the table. 2. a. Before Is the net force on the left piece always zero? Explain After i. ii. Is the net force on the system consisting of both pieces always zero? Explain. ii. Is the momentum of the left piece conserved? Explain. iv. Is the momentum of the system consisting of both pieces conserved? Explain A block slides down a frictionless incline. The incline is fixed in place on a table b. Incline at rest Is the net force on the block always zero? Explain. i. ii. Is the net force on the incline always zero? Explain. ii. Is the net force on the block-incline system always zero? (Hint: Draw free-body diagrams for the block, incline, and system consisting of both objects.) Explain. iv. Is the momentum of the block conserved? Explain v. Is the momentum of the incline conserved? Explain vi. Is the momentum of the block-incline system conserved? Explain.Explanation / Answer
2a.
a) No, the explosion causes a change in motion of the left piece, which implies it is experiencing an external force. So, the net force is not zero in this case.
b) Yes, there are no external forces acting on the 2-piece system. As such, the net force will always be zero.
c) No, if the system is defined to consist of only the left piece, the intially at rest system experiences motion in the left direction with no opposing force in the opposite direction to balance it. Net force is no equal to zero, thus momentum is not conserved.
d) Yes, the momentum of the left piece is equal in magnitude and opposite in direction to the momentum of the right piece which yields a vector sum of zero.
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