Solve problem related to impact force from falling object

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Impact Force from Falling Object

As an object falls from rest, its gravitational potential energy is converted to kinetic energy. Consider a mass m which is falling vertically under the influence of gravity.

Object is falling from rest, therefore initial kinetic energy is zero. Once the object hit on the ground, height is zero, therefore no potential energy at ground level.

Initial PE = Final KE
potential energy = kinetic energy

Impact velocity just before the impact is Impact velocity just before the impact

From work-energy principle, change in the kinetic energy of an object is equal to the net work done on the object.
work-energy principle

For a straight-line collision, the total work done is equal to the average force of impact times the distance traveled during the impact.
Average impact force x Distance traveled = Change in kinetic energy

Total work done = Kinetic energy just before object hit the ground

Impact force
impact force

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