CONSERVATION OF MOMENTUM IN ONE DIMENSION 1. Two gliders are on a frictionless, level air track. Initially, glider A moves to the right and glider B is at rest. After the collision, glider A has reversed direction and moves to the left. System C consists of both gliders A and B. The mass of glider A is one-fourth the mass of glider B. a. Draw an arrow for each glider and for system C to represent the direction of the change in momentum in this Name Initial direction of motion A B m₁ = +m Track is frictionless Glider A Direction of change in momentum Glider B System C C collision. Explain how you determined your answer. Mech HW-55 Is the magnitude of the change in momentum vector for glider A greater than, less than, or equal to the magnitude of the change in momentum vector for glider B? Explain. b. Draw an arrow for each glider to represent the direction of the change in velocity from before to after the collision. Explain how you determined your answer. Direction of change in velocity Glider A Glider B Is the magnitude of the change in velocity vector for glider A greater than, less than, or equal to the magnitude of the change in velocity vector for glider B? Explain. c. Consider the following incorrect statement: "Glider B will move to the right after this collision, but it would move faster if glider A were to come to a stop, giving glider B all its momentum." Describe what is incorrect about this statement and explain how you can tell. Tutorials in Introductory Physics McDermott, Shaffer, & P.E.G., U. Wash. OPrentice Hall, Inc. First Edition, 2002 Mech Conservation of momentum in one dimension HW-56 2. a. 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. i. Is the net force on the left piece always zero? Explain. Before After Firecracker ii. Is the net force on the system consisting of both pieces always zero? Explain. iii. Is the momentum of the left piece conserved? Explain. iv. Is the momentum of the system consisting of both pieces conserved? Explain. b. A block slides down a frictionless incline. The incline is fixed in place on a table. i. Is the net force on the block always zero? Explain. ii. Is the net force on the incline always zero? Explain. Incline at rest iii. 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. Tutorials in Introductory Physics McDermott, Shaffer, & P.E.G., U. Wash. OPrentice Hall, Inc. First Edition, 2002

CONSERVATION OF MOMENTUM IN ONE DIMENSION 1. Two gliders are on a frictionless, level air track. Initially, glider A moves to the right and glider B is at rest. After the collision, glider A has reversed direction and moves to the left. System C consists of both gliders A and B. The mass of glider A is one-fourth the mass of glider B. a. Draw an arrow for each glider and for system C to represent the direction of the change in momentum in this Name Initial direction of motion A B m₁ = +m Track is frictionless Glider A Direction of change in momentum Glider B System C C collision. Explain how you determined your answer. Mech HW-55 Is the magnitude of the change in momentum vector for glider A greater than, less than, or equal to the magnitude of the change in momentum vector for glider B? Explain. b. Draw an arrow for each glider to represent the direction of the change in velocity from before to after the collision. Explain how you determined your answer. Direction of change in velocity Glider A Glider B Is the magnitude of the change in velocity vector for glider A greater than, less than, or equal to the magnitude of the change in velocity vector for glider B? Explain. c. Consider the following incorrect statement: "Glider B will move to the right after this collision, but it would move faster if glider A were to come to a stop, giving glider B all its momentum." Describe what is incorrect about this statement and explain how you can tell. Tutorials in Introductory Physics McDermott, Shaffer, & P.E.G., U. Wash. OPrentice Hall, Inc. First Edition, 2002 Mech Conservation of momentum in one dimension HW-56 2. a. 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. i. Is the net force on the left piece always zero? Explain. Before After Firecracker ii. Is the net force on the system consisting of both pieces always zero? Explain. iii. Is the momentum of the left piece conserved? Explain. iv. Is the momentum of the system consisting of both pieces conserved? Explain. b. A block slides down a frictionless incline. The incline is fixed in place on a table. i. Is the net force on the block always zero? Explain. ii. Is the net force on the incline always zero? Explain. Incline at rest iii. 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. Tutorials in Introductory Physics McDermott, Shaffer, & P.E.G., U. Wash. OPrentice Hall, Inc. First Edition, 2002