Rotational Motion Question 113

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. Before collision After collision
Before collision After collision
Object $p _{x}$ $p _{Y}$ $p _{x}$ $p _{Y}$
A -4 5 3 A
B b -2 4 2

What are the missing values (a, b)?

Options:

A) 10, 11

B) 1, 11

C) 5, 7

D) 6, 4

Show Answer

Answer:

Correct Answer: B

Solution:

[b]

$p _{x}$(before collision) = $p _{x}$

(after collision) $\Rightarrow -4+b=3+4\Rightarrow b=11$

$P _{Y}$ (before collision)=$P _{Y}$

(after collision) $5-2=a+2\Rightarrow a=1$



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