Question

Determine the amount of potential energy of a 5.0Kg book that is moved to three different shelves on a bookcase. The height of each shelf is 1.0 m, 1.5 m, and 2.0 m.

Answer 1

The potential energy of a 5.0 kg book is calculated for three shelving heights using the formula PE = mgh. At heights of 1.0 m, 1.5 m, and 2.0 m, the potential energies are 49 J, 73.5 J, and 98 J, respectively.

Step-by-step explanation:

We are asked to calculate the potential energy of a 5.0 kg book that is moved to three different shelves on a bookcase, with each shelf at heights of 1.0 m, 1.5 m, and 2.0 m. The formula to find gravitational potential energy (PE) is PE = mgh, where m is mass in kilograms, g is the acceleration due to gravity (9.8 m/s²), and h is the height in meters.

1. For the first shelf at 1.0 m: PE = (5.0 kg)(9.8 m/s²)(1.0 m) = 49 J.
2. For the second shelf at 1.5 m: PE = (5.0 kg)(9.8 m/s²)(1.5 m) = 73.5 J.
3. For the third shelf at 2.0 m: PE = (5.0 kg)(9.8 m/s²)(2.0 m) = 98 J.

The potential energy of the book increases with height, as the amount of energy stored due to its position in a gravitational field increases.

Answer 2

Formula to find gravitational potential energy:
mgh
m: mass
g: gravitational acceleration
h: height (relative to reference level)

so the P.E. at 1.0.m is (5x9.8x1)= 49J
P.E. at 1.5m is (5x9.8x1.5) =73.5J
P.E. at 2.0m is (5x9.8x2)=98J