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The first particle was moving and the second particle was at rest in the laboratory coordinates for collision, then in the center of mass coordinates: (A) the second particle will be at rest (B) both particles are moving (C) the first particle will be at rest (D) both particles will be at rest?
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The first particle was moving and the second particle was at rest in t...

Center of Mass Coordinates Transformation

To determine the motion of the particles in the center of mass coordinates, we first need to understand how to transform from laboratory coordinates to center of mass coordinates.

Initial Conditions

In the laboratory frame, the first particle is moving while the second particle is at rest. This means that the total momentum of the system is not zero.

Center of Mass Frame

In the center of mass frame, the total momentum of the system is zero. This implies that the first particle will be moving in the opposite direction to the second particle in order to cancel out their individual momenta and achieve a total momentum of zero.

Outcome

- (D) both particles will be at rest: Since the center of mass frame requires the total momentum to be zero, both particles will come to rest in this frame. This is because their individual momenta will cancel each other out.

Therefore, in the center of mass coordinates, both particles will be at rest after the collision, as the system's total momentum must be conserved and balanced to zero in this frame.
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The first particle was moving and the second particle was at rest in the laboratory coordinates for collision, then in the center of mass coordinates: (A) the second particle will be at rest (B) both particles are moving (C) the first particle will be at rest (D) both particles will be at rest?
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The first particle was moving and the second particle was at rest in the laboratory coordinates for collision, then in the center of mass coordinates: (A) the second particle will be at rest (B) both particles are moving (C) the first particle will be at rest (D) both particles will be at rest? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The first particle was moving and the second particle was at rest in the laboratory coordinates for collision, then in the center of mass coordinates: (A) the second particle will be at rest (B) both particles are moving (C) the first particle will be at rest (D) both particles will be at rest? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The first particle was moving and the second particle was at rest in the laboratory coordinates for collision, then in the center of mass coordinates: (A) the second particle will be at rest (B) both particles are moving (C) the first particle will be at rest (D) both particles will be at rest?.
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