owing is TRUE about the energy of a moving object if all the forces are conserved?

To determine what is true about the energy of a moving object when all the forces are conserved, we need to understand the principles of energy conservation, particularly in the context of mechanical energy, which consists of kinetic and potential energy.

1. Conservation of Energy: When all forces acting on a moving object are conservative, the total mechanical energy of the object remains constant. This means that any work done by conservative forces (like gravity) does not change the total energy of the system; it only transforms energy from one form to another.

2. Kinetic Energy: The kinetic energy, which is given by the equation $KE = \frac{1}{2}mv^2$ (where $m$ is mass and $v$ is velocity), remains constant as long as no external work is done on the object.

3. Potential Energy: Potential energy varies depending on the position of the object within a conservative field. For instance, in a gravitational field, potential energy is given by $PE = mgh$ (where $h$ is height). As the object moves, there might be a change in height, and thus potential energy will change, but the total energy (kinetic + potential) will remain constant.

4. Conclusion: Therefore, when all forces are conservative, the key conclusion is that the sum of kinetic and potential energies remains constant. This reflects the principle of conservation of mechanical energy, which states that energy cannot be created or destroyed, only transformed from one form to another.

In summary, if all forces acting on a moving object are conservative, the total mechanical energy (the sum of its kinetic and potential energy) is conserved.