Question: If air resistance is zero, the sum of potential and kinetic energy of a freely falling body will

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Solution

If there is no friction then energy is conserved. There are two parts in this case, potential energy and kinetic energy. The object starts out with no kinetic energy and potential energy of PE = mgh where m is the mass, g is acceleration due to gravity and h is its initial height above the ground. The kinetic energy is zero. As the object falls it loses potential energy and gains kinetic energy KE = mv²/2. The sum PE and KE remain constant. When the object reaches the ground its final KE will be equal to its original PE.

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