An object of mass 40 kg is raised to a height of 5 m above the ground. What is its potential energy? If the object is allowed to fall, find its kinetic energy when it is half-way down

Mass of the object, $M = 40 k g$

Height up to which it is raised

h = 5

Potential energy

P . E = M g h

P . E = 40 \times 10 \times 5 = 2000 J

Let its kinetic energy be

E_{k}

when it is halfway down i.e

h^{'} = h/2

According to the conservation of energy,

K . E_{i} + P . E_{i} = K . E_{f} + P . E_{f}

0 + 2000 = E_{k} + M g h/2

∴

2000 = E_{k} + 40 \times 10 \times 5/2

⟹ E_{k} = 1000 J

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