Question

Two objects that are moving along an xy-plane on a frictionless floor collide. Assume that they form a closed, isolated system. The following table gives some of the momentum components (in kilogram meters per second) before and after the collision. What are the mission values (a, b):

	Before collision		After collision
Object	P${}_x$	P${}_y$	P${}_x$	P${}_y$
A	-4	5	3	a
B	b	-2	4	2

• A. 10, 11
• B. 1, 11
• C. 5, 7
• D. 6, 4

Answer 1

The correct option is B 1, 11

Applying conservation of momentum in x-axis :

$-4+b=3+4$

$⟹b=11$

Applying conservation of momentum in y-axis :

$5-2=a+2$

$⟹a=1$