3. 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. Frictionless horizontal surface Top view a. At an instant during the collision, is the net force on object A Before collision zero or non-zero? -> at rest b. During the collision, is the momentum of object A conserved? Explain. After collision A %3D Is the momentum of the system consisting of objects A and X conserved? Explain.

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Could you help with a and b?

**Conservation of Momentum in Two Dimensions**

**Question 3: Analysis of Collision Scenarios**

**At an instant during the collision, is the net force on object A zero or non-zero?**
During the collision, the net force on object A is non-zero. This is because collisions involve interactions that result in forces being exerted between objects.

**b. Is the momentum of object A conserved during the collision?**
Momentum of object A is not conserved during the collision because object A is interacting with another object, changing its velocity due to the external force during the collision.

**Is the momentum of the system consisting of objects A and X conserved? Explain.**
Yes, the momentum of the system consisting of objects A and X is conserved during the collision because no external forces are acting on the system of these two objects on the frictionless surface.

**c. Analysis of a different collision scenario:**

**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 = m₂ > mₐ = mₓ.**
After the collisions, object C moves in the direction shown and has the same final speed as object A.

**i. In the provided space, sketch the vectors of initial (\vec{v_{C_i}}) and final (\vec{v_{C_f}}) velocities of glider C, and draw the change in velocity vector (\Delta \vec{v_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.**
The magnitude of the change in velocity vector of object A is equal to the magnitude of the change in velocity vector of object C. This is due to the same mass and the frictionless surface, resulting in equivalent opposing velocity changes.

**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.**
The magnitude of the change in momentum vector of object A is less than the magnitude of the change in momentum vector of object C because mass of object A is less than the mass of object C (m_A < m_C).

**iv. Is the final speed of object X greater than, less than, or equal to the final speed of
Transcribed Image Text:**Conservation of Momentum in Two Dimensions** **Question 3: Analysis of Collision Scenarios** **At an instant during the collision, is the net force on object A zero or non-zero?** During the collision, the net force on object A is non-zero. This is because collisions involve interactions that result in forces being exerted between objects. **b. Is the momentum of object A conserved during the collision?** Momentum of object A is not conserved during the collision because object A is interacting with another object, changing its velocity due to the external force during the collision. **Is the momentum of the system consisting of objects A and X conserved? Explain.** Yes, the momentum of the system consisting of objects A and X is conserved during the collision because no external forces are acting on the system of these two objects on the frictionless surface. **c. Analysis of a different collision scenario:** **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 = m₂ > mₐ = mₓ.** After the collisions, object C moves in the direction shown and has the same final speed as object A. **i. In the provided space, sketch the vectors of initial (\vec{v_{C_i}}) and final (\vec{v_{C_f}}) velocities of glider C, and draw the change in velocity vector (\Delta \vec{v_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.** The magnitude of the change in velocity vector of object A is equal to the magnitude of the change in velocity vector of object C. This is due to the same mass and the frictionless surface, resulting in equivalent opposing velocity changes. **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.** The magnitude of the change in momentum vector of object A is less than the magnitude of the change in momentum vector of object C because mass of object A is less than the mass of object C (m_A < m_C). **iv. Is the final speed of object X greater than, less than, or equal to the final speed of
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