why must the displacement vector of the lighter ball be scaled by the ratio of masses of the two balls?

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08-11-2022
Physics

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why must the displacement vector of the lighter ball be scaled by the ratio of masses of the two balls?

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kumarprabhat kumarprabhat · Answer 1 · 2022-11-12T09:33:03-05:00

If no external force on the Centre of mass remains stationary. In order to do that displacement in lighter body must be more than that of heavier ball.

The sum of the starting momentums of the two bodies when they collide is equal to the sum of their final momentums, according to the law of conservation of momentum.

The experimental system supports the law of conservation of linear momentum when a collision occurs between a heavier ball and a lighter ball in the absence of any other external forces.

The centre of mass does not move due to any external forces. A lighter body must have a greater displacement than a heavier ball in order for that to happen. Changes in an object's position are referred to as displacement. A vector quantity, it has both a direction and a magnitude. An arrow that directs viewers from the starting location to the ending position is used to symbolize it. As an illustration, the position of an object changes if it moves from position A to position B. Displacement is the name for this shift in an object's position.

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