How is conservation of mechanical energy related to newton's law of motion?
How is conservation of mechanical energy related to newton's law of motion?
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1 Answer
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Conservation of Mechanical Energy is linked to newton's second law of motion (F = ma) in combination with work energy theorem. The work energy theorem states that total work done on an object equals to change in kinetic energy. This theorem is used to prove that the sum of kinetic energy and potential energy remains constant.
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By conservation of mechanical energy
mg (1) = mv2 + mg (0.5)
v2 = 10
v = m/s
From conservation of Energy:

(1/2)kx² = (1/2)mv² ⇒ x = v√ (m/k) = 10 × √ (4/100) = 10 × (2/10) = 2m
Yes. Mechanical energy is the sum of both kinetic and potential energies. Kinetic energy cannot be a negative value since mass is always positive and velocity square leads to a positive value. However, potential energy can be negative depending on the reference point.
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