The total energy of the rock-Earth system at points P and Q is [tex]2mgh \ + \ mv_0^2[/tex].
The given parameters;
- Mass of the rock = M
- Height of the cliff, = h
- Initial velocity of the rock, = v
The total energy of the rock at point P is calculated as follows;
[tex]E_P = P.E + K.E\\\\E_P = mgh \ + \frac{1}{2} mv_0^2[/tex]
The total energy of the rock at point Q is calculated as follows;
[tex]E _Q = mgh \ + \ \frac{1}{2} mv_0^2[/tex]
The total energy of the rock-Earth system at points P and Q is calculated as follows;
[tex]E_P + E_Q = 2mgh \ + mv_0^2[/tex]
Learn more about total mechanical energy here: https://brainly.com/question/18595844