Question
![In this problem, the distance units are meters and the time units are sec-
onds.
Consider two particles p and q in 2-D or 3-D space, with respective masses
n kg and m kg, that approach cach other, collide elastically, and then bounce
off. Suppose is the initial constant velocity of p, and is the initial
velocity of q (see the "Before Collision" picture below).
After the collision, p and q have constant velocities of uƒ ‡ ♂ and vƒ ‡ ♂,
respectively (see the "After Collision" picture below).
Beforedli
the stepeni
ullision
After
the
collision
collision
point
2-D
р
Constant
3-D
2
• V
6
Constant)
velocities
(1) Calculate a formula for the radian angle 0 € [0, π] between the path of
p and the path of q after the collision, in terms of the scalar quantities m, n,
|||| and |||| (and only these quantities).
(2) In the case where p and q have the same mass, calculate exactly.](https://content.bartleby.com/qna-images/question/4c49c29d-b734-4891-8a07-7c122a77a78d/6af853fe-d1d0-408c-b74a-c5b5a0d566fe/xe2utc_thumbnail.jpeg)
Transcribed Image Text:In this problem, the distance units are meters and the time units are sec-
onds.
Consider two particles p and q in 2-D or 3-D space, with respective masses
n kg and m kg, that approach cach other, collide elastically, and then bounce
off. Suppose is the initial constant velocity of p, and is the initial
velocity of q (see the "Before Collision" picture below).
After the collision, p and q have constant velocities of uƒ ‡ ♂ and vƒ ‡ ♂,
respectively (see the "After Collision" picture below).
Beforedli
the stepeni
ullision
After
the
collision
collision
point
2-D
р
Constant
3-D
2
• V
6
Constant)
velocities
(1) Calculate a formula for the radian angle 0 € [0, π] between the path of
p and the path of q after the collision, in terms of the scalar quantities m, n,
|||| and |||| (and only these quantities).
(2) In the case where p and q have the same mass, calculate exactly.
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