An object of mass 2kg raised to a height 10m possess potential energy of 200J. What is the kinetic energy and potential energy at a height 4 metre?
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Given:
Mass of the object = 2 kg
Initial height of the object = 10m
Potential energy at initial height = 200J
To find:
Kinetic energy and potential energy at 4m.
Solution:
From energy conservation:
Potential energy at height of 10m = Kinetic energy + Potential energy at height of 4m
Potential energy at height of 10m = 200
Let kinetic energy at 4m = KE
And potential energy at 4m = PE
Then: 200 = KE + PE
Potential energy at height of 4m = m*g*h = 2*10*4 = 80J
Then KE = 200 - 80 = 120J
Therefore the kinetic energy is 120J and potential energy is 80J at height = 4m.
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