In a perfectly elastic collision between two objects, which of the following is true?*1 pointKinetic energy is conserved, but momentum may not be conserved.Momentum is conserved, but kinetic energy may not be conserved.Both momentum and kinetic energy are conservedNeither momentum nor kinetic energy is conserved.
Question
In a perfectly elastic collision between two objects, which of the following is true?*1 pointKinetic energy is conserved, but momentum may not be conserved.Momentum is conserved, but kinetic energy may not be conserved.Both momentum and kinetic energy are conservedNeither momentum nor kinetic energy is conserved.
Solution
In a perfectly elastic collision between two objects, both momentum and kinetic energy are conserved.
Here's why:
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Momentum Conservation: In any type of collision (elastic or inelastic), the total momentum of the system (the sum of the momenta of the two colliding objects) is conserved. This is due to Newton's Third Law, which states that for every action, there is an equal and opposite reaction. In the context of collisions, this means that any momentum lost by one object must be gained by the other.
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Kinetic Energy Conservation: In a perfectly elastic collision, not only is momentum conserved, but the total kinetic energy of the system is also conserved. This is a special property of elastic collisions. In these collisions, the objects 'bounce' off each other without any loss of speed (and therefore kinetic energy) due to things like heat or sound.
So, the correct answer is "Both momentum and kinetic energy are conserved".
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