Question
Sun March 08, 2015 By: Sindhuja Srivastava

An object is raised to a height of 5 m at sea level and then the same object is raised to the same height on a mountain peak, 1000m above sea level.Will there be a difference in potential energy in the above two cases?
Is there achange in potential energy with respect to one level and with respect to another level?

Expert Reply
Yashvanti Jain
Mon March 09, 2015
We know that the value of 'g' decreases as we go up from the surface of the Earth. In other words the value of 'g' decreases as the distance from the centre of the Earth increases.
Thus, the value of g on the surface of the Earth will be more than the value of g' at an altitude 1000 m above the Earth.
Now, the potential energy of an object is given as mgh.
The same object is raised to the same height of 5m in both the cases. Thus there will be a difference in the value of their potential energy as the value of g is different in both the cases. And the value of potential energy of the object on the surface of the Earth will be more than the value of the potential energy of the same object at an altitude of 1000 m above the sea level.
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