Physics
Two identical marbles A and B are rolled down along Path 1 and Path 2 respectively. Path 1 is frictionless and Path 2 is rough.

(a) Which marble will surely reach the next peak?
(b) Along which path/s the mechanical energy will be conserved?
(c) Along which path/s is the law of conservation of energy obeyed?
Work, Energy & Power
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Answer
(a) As Path 2 is rough and Path 1 is frictionless then marble A will surely reach the top because there will be no energy lost on the frictionless road while some energy will be degraded on rough path.
(b) As total mechanical energy remains constant when there is no frictional force, hence, mechanical energy will be preserved along path 1.
(c) Since energy cannot be created or destroyed, the law of conservation of energy applies to both scenarios.
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