a book having a mass of 1.3kg lies on a shelf 1.8 m above the floors in a room whose ceiling is 2.5 m high. What is the books gravitational energy relative to the floor?
To calculate the book's gravitational energy relative to the floor, we need to know the height at which the book is located in relation to the floor. In this case, the book is lying on a shelf 1.8 m above the floor.
Gravitational energy can be calculated using the formula:
Gravitational Energy = mass * gravitational acceleration * height
Given that the book has a mass of 1.3 kg and the gravitational acceleration on Earth is approximately 9.8 m/s², we can substitute these values into the formula:
Gravitational Energy = 1.3 kg * 9.8 m/s² * 1.8 m
Now, we can calculate the gravitational energy:
Gravitational Energy = 23.868 Joules
Therefore, the book's gravitational energy relative to the floor is approximately 23.868 Joules.