What happens when two spheres of different masses are given a slight push?

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When two spheres of different masses are pushed, the outcome depends on the nature of the impact, whether elastic or inelastic. In a purely elastic collision, the left sphere (mass m) will transfer some of its momentum to the right sphere (mass 2m) upon impact. The left sphere will move to the right, while the right sphere will begin to move as well, but at a slower speed due to its greater mass. The final velocities of both spheres can be calculated using conservation of momentum and kinetic energy principles. The interaction illustrates fundamental concepts in physics regarding motion and collisions.
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There are two spheres in contact in a row. The mass of the left one is m and the right is 2m. If there's a slight push of F to the right on the left ball. What would happen to the two balls?

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What would happen depends on the spheres, or whether it is a hard or soft impact
 
It's purely elastic.
 
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