Draw separate arrows for object a and for object b

Question

Problem 1. Two objects are arranged on a level, frictionless table as shown. Two experiments are conducted in which object A is launched toward the stationary block B. The initial speed of object A is the same in both experiments; the direction is not. The initial and final velocities of object A in each experiment are shown.

The mass of block B is four times that of object A (m_B = 4m_A).

a. Draw separate arrows representing the direction of the change in momentum vector of object A in the two experiments.

Is the magnitude of the change in momentum of object A in experiment 1 greater than, less than, or equal to that in experiment 2? Explain.

b. Draw separate arrows representing the direction of the change in momentum vector of block B in the two experiments.

After the collisions, is the magnitude of the momentum of block B in experiment 1 greater than, less than, or equal to that in experiment 2? If the momentum of block B is zero in either case, state that explicitly. Explain.

Problem 2. Two objects collide on a level, frictionless table. The mass of object A is 5.0 kg; the mass of object B is 3.0 kg. The objects stick together after the collision. The initial velocity of object A and the final velocity of both objects are shown.

a. Draw separate arrows for object A and for object B representing the direction of the change in momentum vector of the object.

Is the magnitude of the change in momentum of object A greater than, less than, or equal to that of object B? Explain your reasoning.

b. System C is the system of both objects A and B combined. How does the momentum of system C before the collision compare to the momentum of system C after the collision? Discuss both magnitude and direction.

Construct and label a vector showing the momentum bf system C at an represents 0.4 kg m/s) instant before the collision. Show your work clearly.

c. Construct and label a vector showing the initial velocity of object B. Show your work clearly.

Problem 3. Object A collides on a horizontal frictionless surface with an Frictionless initially stationary target, object X. The initial and final velocities of object A are shown. The final velocity of object X is not given.

a. At an instant during the collision, is the net force on object A zero or non-zero?

b. 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.

c. 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 m_x = m_z > m_A = m_c.

After the collisions, object C moves in the direction shown and has the same final speed as object A.

i. In the space below, copy the vectors V_cr, and zia with their tails together. Use these vectors to draw the change in velocity vector for glider C, ΔV_cr.

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.

d. Consider the following incorrect statement:

'Gliders A and C have the some change in momentum. They have the same mass, and because they have the some initial speed and same final speed, Ay is the some for each of ,them'

Discuss the error(s) in the reasoning.