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) $5-2=a+2\Rightarrow a=1$