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 v is the initial velocity of q (see the "Before Collision" picture below). After the collision, p and q have constant velocities of us ‡ and v} ‡ ♂, respectively (see the "After Collision" picture below). # Beforeli the prepision After the collision (collision point р Constant 2-D3-D ● vi Constant) velocities VE - (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.
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 v is the initial velocity of q (see the "Before Collision" picture below). After the collision, p and q have constant velocities of us ‡ and v} ‡ ♂, respectively (see the "After Collision" picture below). # Beforeli the prepision After the collision (collision point р Constant 2-D3-D ● vi Constant) velocities VE - (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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![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4c49c29d-b734-4891-8a07-7c122a77a78d%2F6af853fe-d1d0-408c-b74a-c5b5a0d566fe%2Fxe2utc_processed.jpeg&w=3840&q=75)
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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