Question
State and prove law of conservation of mechanical energy.
Solution
Law of conservation of mechanical energy states that the sum of kinetic energy and potential energy of a body at any point remains constant throughout the motion.
Let a body be displaced from position
under the influence of conservative force.
According to work energy relationship,
...(1)
But, work done on body by conservative force is negative of the change in potential energy.
i.e.
...(2)
From (1) and (2),
i.e. Sum of kinetic energy and potential energy is constant throughout the motion.
Let a body be displaced from position
under the influence of conservative force. According to work energy relationship,
...(1)But, work done on body by conservative force is negative of the change in potential energy.
i.e.
...(2)From (1) and (2),
i.e. Sum of kinetic energy and potential energy is constant throughout the motion.
