Answer:
[tex][/tex] The potential energy of the rock at the top of the cliff can be calculated using the formula:
PE = m × g × h
Where:
PE = potential energy
m = mass of the rock (assumed to be 3 kg)
g = acceleration due to gravity (given as 9.8 m/s²)
h = height of the cliff (66 meters)
PE = 3 kg 9.8 m/s² 66 m
PE ≈ 1922.4 Joules
The kinetic energy of the rock when it has fallen 6 meters from its original position can be calculated as:
KE = PE at the top - PE at 6 meters
KE = m × g (h1 - h2)
Where:
h1 = initial height (66 meters)
h2 = final height (6 meters)
KE = 1922.4 - 3 kg 9.8 m/s² × 6 m
KE ≈ 1922.4 - 176.4
KE ≈ 1746 Joules
So, the kinetic energy of the rock when it has fallen 6 meters from its original position is approximately 1746 Joules.