Answer:
Part(A): The magnitude of Jill's final velocity is .
Part(B): The direction is south to east.
Explanation:
Given:
Mass of Jack,
Mass of Jill,
Initial velocity of Jack,
Initial velocity of Jill,
Final velocity of Jack,
The final angle made by Jack after collision,
Consider that the final velocity of Jill be and it makes an angle of with respect to east, as shown in the figure.
Conservation of momentum of the system along east direction is given by
where, is the component of Jill's final velocity along east. The direction of this component will be along east.
Substituting the value, we have
Conservation of momentum of the system along north direction is given by
where, is the component of Jill's final velocity along north. The direction of this component will be along the opposite to north.
Part(A):
The magnitude of the final velocity of Jill is given by
Part(B):
The direction is given by