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A rock of mass M is thrown from the edge of a cliff of height h with an initial velocity v at an angle with the horizontal, as shown in the figure Point P is the
highest point in the rock's trajectory, and point Q is level with the initial position of the rock. All frictional forces are considered to be negligible. Which of the
following could correctly describe the total energy of the rock-Earth system at points P and Q?

A rock of mass M is thrown from the edge of a cliff of height h with an initial velocity v at an angle with the horizontal as shown in the figure Point P is the class=

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Answer:

Point P: mgh + 1/2Mv^2 0

Point Q: mgh + 1/2Mv^2 0

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]

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