Mechanical energy is conserved in all the four situations
Explanation:
The law of conservation of energy states that in absence of non-conservative forces (such as air resistance of friction), the mechanical energy of an object is conserved.
The mechanical energy of an object is the sum of its potential energy (PE) and its kinetic energy (KE):
E = PE + KE = const.
In all the situations described, there are no air resistance or friction acting on the system, therefore mechanical energy is conserved in all the four situations described.
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