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A stone of mass 1kg is dropped from a height of 10m above the ground and falls f...


Question

A stone of mass 1kg is dropped from a height of 10m above the ground and falls freely under gravity. Its kinetic energy 5m above the ground is then equal to

Options

A) its kinetic energy on the ground

B) twice its initial potential energy

C) its initial potential energy

D) half its initial potential energy


The correct answer is D.

Explanation:

At the height of 10m, its total energy is potential, given by P.E. = mgh = 1 x 10 x 10 = 100J.
But as the stone descends, its potential energy decreases, while its kinetic energy increases.
Half way during the fall, (h = 5m), its P.E. = 50J, and consequently, its K.E. should be 50J, such that from the principle of conservation of energy, the total energy of the stone at any instant should be conserved.

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Dicussion (1)

  • At the height of 10m, its total energy is potential, given by P.E. = mgh = 1 x 10 x 10 = 100J.
    But as the stone descends, its potential energy decreases, while its kinetic energy increases.
    Half way during the fall, (h = 5m), its P.E. = 50J, and consequently, its K.E. should be 50J, such that from the principle of conservation of energy, the total energy of the stone at any instant should be conserved.

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