# 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 (g = 10 m/s2)

Given,

Mass, m = 40 kg

Acceleration due to gravity, g = 10 m/s2

Height, h = 5 m

We know that,

Potential energy = m × g × h

= 40 × 10 × 5

= 2000 J

When the object is fall to its half way down, then its height above the ground =

=2.5 m

Now, Potential energy = m × g × h

= 40 × 10 × 2.55 J

= 1000 J

Now, we know that according to the law of conservation of energy:

Total potential energy = Potential energy at half way down + Kinetic energy at half way down

2000 = 1000 + Kinetic energy at half way down

Kinetic energy at half way down = 2000 – 1000

= 1000 J

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