if the same 1.0 kg book is lifted to 0.5 meters above the table, but the table top is 1.0 meters above the floor,, what would be the potential energy of the book if the reference level were the floor??
To calculate the potential energy of the book with the reference level as the floor, we need to consider the height difference between the book's final position and the reference level, as potential energy is dependent on height.
Let's break down the problem step by step:
1. Determine the height difference: The book is lifted to a height of 0.5 meters above the table, but the table top is 1.0 meters above the floor. So, the total height difference from the book's final position to the floor is 1.0 meter + 0.5 meters = 1.5 meters.
2. Calculate the potential energy: 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 (approximately 9.8 m/s^2), and "h" is the height difference.
In this case, the mass of the book is 1.0 kg, the acceleration due to gravity is 9.8 m/s^2, and the height difference is 1.5 meters. Plugging these values into the formula, we get:
PE = (1.0 kg) * (9.8 m/s^2) * (1.5 meters)
= 14.7 Joules
Therefore, the potential energy of the book, with the reference level as the floor, would be 14.7 Joules.
To calculate the potential energy (PE) of an object, we can use the equation:
PE = mgh
Where:
m = mass of the object (1.0 kg)
g = acceleration due to gravity (9.8 m/s^2)
h = height above the reference level (in this case, the floor)
In this scenario, the book is lifted to a height of 0.5 meters above the table, and the table is 1.0 meter above the floor. To find the total height above the floor, we need to add the heights:
Total height above the floor = height above the table + height of the table above the floor
Total height above the floor = 0.5 m + 1.0 m
Total height above the floor = 1.5 meters
Now, we can calculate the potential energy:
PE = mgh
PE = 1.0 kg * 9.8 m/s^2 * 1.5 m
PE = 14.7 Joules
Therefore, the potential energy of the book, with the reference level as the floor, is 14.7 Joules.