CONSERVATION OF MOMENTUM IN TWO DIMENSIONS 3. a. Object A collides on a horizont

Question

CONSERVATION OF MOMENTUM IN TWO DIMENSIONS 3. a. Object A collides on a horizontal frictionless surface with an initially stationary target, object X. The initial and final velocities of object A are shown. The final velocity of object X is not given. i. At an instant during the collision, is the net force on object A zero or non-zero? ii. During the collision, is the momentum of object A conserved? Explain. Is the momentum of the system consisting of objects A and X conserved? Explain. b. On the same horizontal surface, object C collides with an initially stationary target, object Z. The initial speeds of objects C and A are the same, and mx = mz > mA = mc. After the collisions, object C moves in the direction shown and has the same final speed as object A. In the space below, copy the vectors vector vci and vector vcf with their tails together. Use these vectors to draw the change in velocity vector delta vector v for glider C. ii. Is the magnitude of the change in velocity vector of object A greater than, less than, or equal to the magnitude of the change in velocity vector of object C? Explain. iii. Is the magnitude of the change in momentum vector of object A greater than, less than, or equal to the magnitude of the change in momentum vector of object C? Explain. iv. Is the final speed of object X greater than, less than, or equal to the final speed of object Z? Explain. c. Consider the following incorrect statement: ''Gliders A and C have the same change n momentum. They have the same mass, and Because they have the same initial speed and same final speed, delta v the same for each of them.'' Discuss the error(s) in the reasoning.

Explanation / Answer

3.a)
i)
Net force on A is non Zero since during coliision, there will be force acting on A due to X.
This force has change the momentum of A

ii)
No, momentum of A is not conserved
Since there is net force acting on A, momentum will not be conserved

iii)
Momentum of system is consereved, since there is no external force acting on the system.

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