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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 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.
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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