An object of mass m Kg is raised to a height h from the earth surface. Calculate. i) Work done by the force of gravity. ii) Work done by the external force. iii) Potential energy stored in the object.
Answers
Answer:
the work done by the object
Given:
An object of mass m Kg is raised to a height h from the earth surface
To Find:
i) Work done by the force of gravity.
ii) Work done by the external force.
iii) Potential energy stored in the object.
Solution:
The work done by a force is the scalar product of the force producing the work and the displacement of the object.
Mathematically,
W = F.s cos∅
Here ∅ is the angle between the force and the displacement
i) Applying the above formula, the work done by the force of gravity
= (mg) . h . cos 180
= -mgh
ii) The work done by the external force
= (mg) . h . cos 0
= mgh
iii) The work done to lift an object is equal to the potential energy that gets stored in the object.
Hence, the potential energy stored in the object = mgh