Answer :
Final answer:
The potential energy of a rock on a cliff can be calculated using the formula PE = mgh. For a rock with a mass of 54 kg and a cliff height of 27 m, the potential energy is approximately 14,314 J. In the second question, we are given the potential energy of a book as 196 J, but without the mass of the book, we cannot determine the exact height from the floor.
Explanation:
The potential energy of an object is given by the formula PE = mgh, where m is the mass of the object, g is the acceleration due to gravity, and h is the height.
For the first question, we have:
- Mass of the rock (m) = 54 kg
- Height of the cliff (h) = 27 m
- Acceleration due to gravity (g) ≈ 9.8 m/s²
Using the formula, we can calculate the potential energy:
PE = mgh
PE = 54 kg × 9.8 m/s² × 27 m
PE ≈ 14,314 J
For the second question, we are given the potential energy (PE) as 196 J and we need to find the height (h) from the floor:
Using the formula:
PE = mgh
196 J = m × 9.8 m/s² × h
Since we don't have the mass (m) of the book, we cannot determine the exact height.
This is the detailed answer to the questions about potential energy.
Learn more about Potential Energy here:
https://brainly.com/question/24284560
Final answer:
The potential energy of the rock is 14,580 J and the distance of the book from the floor is 2 m.
Explanation:
The potential energy of the rock is calculated using the formula:
Potential energy = mass × gravitational acceleration × height
Given that the mass of the rock is 54 kg and the height is 27 m, we can calculate:
Potential energy = (54 kg) × (9.8 m/s²) × (27 m) = 14,580 J
The distance of the book from the floor can be found by rearranging the formula:
Potential energy = mass × gravitational acceleration × height
Given that the potential energy is 196 J, we can calculate:
Height = Potential energy / (mass × gravitational acceleration) = 196 J / (m × 9.8 m/s²) = 2 m
