The conservation of energy allows us to find the correct answer for how the change in mechanical energy is:
C. stays the same, but is converted between potential and kinetic energy.
The mechanical energy of bodies is the sum of the kinetic energy due to motion and the potential energies due to the configuration of the system.
If there is not friction in the system, that is, there are no dissipative forces, the mechanical energy must be conserved at all points, this is one of the important conservation laws of physics.
When applying this theorem to the case of the car moving, the energy is converted from potential to kinetic, on the path from A to B and is transformed from kinetic to potential on the path from B to C, but the total value of the mechanical energy remains constant.
Let's analyze the different claims:
A. False. The stable energy conservation theorem that must be constant at all points.
B. False. Must be constant.
C. True. According to the analysis, the mechanical energy is constant and transforms between potential and kinetic.
D. False. As there is no friction, the energy is not lost.
In conclusion using the conservation of energy we can find the correct answer for the transformation of mechanical energy is:
C. Stays the same, but is converted between potential and kinetic energy.
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