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In a perfectly elastic collision between two objects, which of the following is true?*1 pointKinetic energy is conserved, but momentum may not be conservedMomentum is conserved, but kinetic energy may not be conservedBoth 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 conservedMomentum is conserved, but kinetic energy may not be conservedBoth momentum and kinetic energy are conservedNeither momentum nor kinetic energy is conserved

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Solution

In a perfectly elastic collision between two objects, both momentum and kinetic energy are conserved.

Here's why:

  1. Momentum Conservation: In any type of collision (elastic or inelastic), the total momentum of the system (which is the sum of the momenta of the individual objects) is conserved. This is due to Newton's Third Law, which states that for every action, there is an equal and opposite reaction. So, any momentum lost by one object in a collision is gained by the other.

  2. 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 means that the sum of the kinetic energies of the objects before the collision is equal to the sum of their kinetic energies after the collision. This is a special property of elastic collisions and does not hold true for inelastic collisions, where some kinetic energy is transformed into other forms of energy (like heat or sound).

So, the correct answer is "Both momentum and kinetic energy are conserved".

This problem has been solved

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In a perfectly elastic collision between two objects, which of the following is true?

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